The velocity-time graph for one-dimensional motion of a particle is as shown in the figure. The acceleration of the particle is (in $m / s ^2$ ):
- ✓
- B
- Czero
- D
Answer: A.
View full solution →Question types
PART - 1 CH - 2 Motion in a Straight Line question types
122 questions across 9 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
122
Questions
9
Question groups
5
Question types
01
M.C.Q (1 Marks)
17 Q→02Fill In The Blanks[1 Marks ]
9 Q→03True False[1 Marks ]
10 Q→041 Marks Question
40 Q→052 Marks Questions
13 Q→063 Marks Question
18 Q→074 Marks Question
4 Q→08Match the following.
2 Q→095 Marks Questions
9 Q→Sample Questions
PART - 1 CH - 2 Motion in a Straight Line questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The velocity-time graph of a particle moving with initial velocity u and uniform acceleration a is:
- A
- B
- ✓
- D
Answer: C.
View full solution →When a body thrown vertically upward from the earth's surface is at its maximum height, then its :
- Avelocity is maximum
- Bacceleration is zero
- Cacceleration is maximum
- ✓velocity is zero
Answer: D.
View full solution →When an object covers equal distances in equal time intervals, then its speed is:
- Aslow motion
- Baccelerated pace
- Cuneven motion
- ✓uneven motion
Answer: D.
View full solution →If the distance covered by an object is directly proportional to time, then we can say that the object :
- Amoves with zero velocity
- Bmoving at a constant speed
- Cacceleration is constant
- ✓has the same velocity
Answer: D.
View full solution →Time-displacement graph is a straight line parallel to the time axis. The values of velocity and acceleration will be ................ .
The rate of change of velocity is called ................ .
The slope of the velocity-time graph shows ................ .
A ball thrown vertically upwards from the earth's surface. After reaching a height, it returns to the earth after some time, then its distance will be ................ and displacement will be ................ .
The decreasing rate of velocity with time is called ................ .
Acceleration in differential form is $a=\frac{d v}{d t}$ and $a=\frac{d^2 x}{d t^2}$.
View full solution →Speedometer of a bus measures the instantaneous speed.
The instantaneous velocity of a uniformly accelerated object can be zero.
Rain drops fall with uniform acceleration.
The displacement and distance travelled by a particle in a circular path to complete one revolution is zero.
Displacement is given by $x=5+10 t+5 t^2$. Find the value of instantaneous acceleration.
View full solution →Write all three equations of motions.
In which situation will the value of displacement of the body equal to the distance covered?
What is the ratio of the distances covered by a freely falling object in its first and second seconds?
A stone thrown vertically upward from the earth's surface, when the stone
(a) Is moving on its upward path.
(b) If it is moving in downward motion, then in which direction are its velocity and acceleration acting?
(a) Is moving on its upward path.
(b) If it is moving in downward motion, then in which direction are its velocity and acceleration acting?
The position-time (x-t) graphs for two children A and B returning from their school O to their homes P and Q respectively are shown in Fig. Choose the correct entries in the brackets below :
(a) (A/B) lives closer to the school than (B/A)
(b) (A/B) starts from the school earlier than (B/A)
(c) (A/B) walks faster than (B/A)
(d) A and B reach home at the (same/different) time
(e) (A/B) overtakes (B/A) on the road (once/twice).
(a) (A/B) lives closer to the school than (B/A)
(b) (A/B) starts from the school earlier than (B/A)
(c) (A/B) walks faster than (B/A)
(d) A and B reach home at the (same/different) time
(e) (A/B) overtakes (B/A) on the road (once/twice).
Figure gives the x – t plot of a particle in one dimensional motion. Three different equal intervals of time are shown. In which interval is the average speed greatest, and in which is it the least? Give the sign of average velocity for each interval.
If the initial velocity of a particle is $u$ and the acceleration in the same direction changes with time as $\alpha t$, then what will be the velocity at time $t$ ?
View full solution →Position $x$ dependents on time
$
x(t)=8+4 t-t^2
$
where distance is measured in meters and time in second. Find the value of instantaneous velocity of the particle at time $t=2 sec$.
View full solution →$
x(t)=8+4 t-t^2
$
where distance is measured in meters and time in second. Find the value of instantaneous velocity of the particle at time $t=2 sec$.
Explain clearly, with examples, the distinction between :
(a) magnitude of displacement (sometimes called distance) over an interval of time, and the total length of path covered by a particle over the same interval;
(b) magnitude of average velocity over an interval of time, and the average speed over the same interval.
[Average speed of a particle over an interval of time is defined as the total path length divided by the time interval]. Show in both (a) and (b) that the second quantity is either greater than or equal to the first. When is the quality sign true? [For simplicity, consider one-dimensional motion only].
(a) magnitude of displacement (sometimes called distance) over an interval of time, and the total length of path covered by a particle over the same interval;
(b) magnitude of average velocity over an interval of time, and the average speed over the same interval.
[Average speed of a particle over an interval of time is defined as the total path length divided by the time interval]. Show in both (a) and (b) that the second quantity is either greater than or equal to the first. When is the quality sign true? [For simplicity, consider one-dimensional motion only].
A car moving along a straight highway with speed of $126$ $km h ^{-1}$ is brought to a stop within a distance of 200 m. What is the retardation of the car (assumed uniform), and how long does it take for the car to stop?
View full solution →
Suggest a suitable physical situation for each the following graphs (Fig.).
A police van moving on a highway with a speed of $30$ $km h ^{-1}$ fires a bullet at a thief's car speeding away in the same direction with a speed of $192$ $km h ^{-1}$. If the muzzle speed of the bullet is $150$ $m s ^{-1}$, with what speed does the bullet hit the thief's car?
View full solution →Read the statement below carefully and state with reasons and examples, if it is true or false.
A particle in one-dimensional motion
(a) with zero speed at an instant may have non-zero acceleration at that instant.
(b) with zero speed may have non-zero velocity.
(c) with constant speed must have zero acceleration.
(d) with positive value of acceleration must be speeding up.
A particle in one-dimensional motion
(a) with zero speed at an instant may have non-zero acceleration at that instant.
(b) with zero speed may have non-zero velocity.
(c) with constant speed must have zero acceleration.
(d) with positive value of acceleration must be speeding up.
A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward followed again by 5 steps forward and 3 steps backward, and so on. Each step is 1 m long and requires 1 s. Plot the x - t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 13 m away from the start.
A woman starts from her home at 9.00 am, walks with a speed of $5$ $km h ^{-1}$ on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm , and return home by an auto with a speed of $25$ $km h ^{-1}$. Choose suitable scales and plot the $x-t$ graph of her motion.
View full solution →Figure gives a speed-time graph of a particle in motion along a constant direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude? In which interval is the average speed greatest? Choosing the positive direction as the constant direction of motion, give the signs of $v$ and a in the three intervals. What are the accelerations at the points A, B, C and D?
View full solution →| (I) | (II) |
| 1. Acceleration a = dv/dt = | (A) $1: 3$ |
| 2. How to find the acceleration of a moving object? | (B) In one-dimensional motion when the direction of the body does not change |
| 3. If the mutual graph of two quantities is a straight line, then both the quantities are: | (C) By the slope of veloc- ity-time graph |
| 4. The ratio of the distances covered by a freely falling object in its first and second second is | (D) Directly Proportional |
| 5. In which position of the body, the value of displacement is equal to the distance travelled by the body? | (E)$\tan \theta$ |
| (I) | (II) |
| 1. For a circular path, if an object moves from A and comes back to A, what will be the value of displacement? | (A) displacement |
| 2. When a body moves in a straight line with a constant velocity in the same direction, then what will be the value of acceleration of the body? | (B) $\tan \theta$ |
| 3. In case of unequal velocity, the displacement and time diagram will have to be made in addition to the straight line. | (C) Zero |
| 4. In the velocity-time graph, the area between the curve and the time axis is equal to which quantity of the body? | (D) Zero |
| 5 Acceleration a = dv/dt = | (E) of any shape |
A ball is dropped from a height of 90 m on a floor. At each collision with the floor the ball loses one tenth of its speed. Plot the speed-time graph of its motion between t = 0 to 12 s.
A player throws a ball upwards with an initial speed of $29.4$ $m s ^{-1}$.
(a) What is the direction of acceleration during the upward motion of the ball?
(b) What are the velocity and acceleration of the ball at the highest point of its motion?
(c) Choose the $x = 0 ~ m$ and $t = 0 ~ s$ to be the location and time of the ball at its highest point, vertically downward direction to be the positive direction of $x$-axis, and give the signs of position, velocity and acceleration of the ball during its upward, and downward motion.
(d) To what height does the ball rise and after how long does the ball return to the player's hands?
(Take $g =9.8 ms^{-2}$ and neglect air resistance.)
View full solution →(a) What is the direction of acceleration during the upward motion of the ball?
(b) What are the velocity and acceleration of the ball at the highest point of its motion?
(c) Choose the $x = 0 ~ m$ and $t = 0 ~ s$ to be the location and time of the ball at its highest point, vertically downward direction to be the positive direction of $x$-axis, and give the signs of position, velocity and acceleration of the ball during its upward, and downward motion.
(d) To what height does the ball rise and after how long does the ball return to the player's hands?
(Take $g =9.8 ms^{-2}$ and neglect air resistance.)
We have carefully distinguished between average speed and magnitude of average velocity. No such distinction is necessary when we consider instantaneous speed and magnitude of velocity. The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why?
A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km $h ^{-1}$. Finding the market closed, he instantly truns and walks back home with a speed of $7.5$ $km h ^{-1}$. What is the
(a) magnitude of average velocity, and
(b) average speed of the man over the interval of time
(i) 0 to 30 min, (ii) 0 to 50 min, (iii) 0 to 40 min ?
View full solution →(a) magnitude of average velocity, and
(b) average speed of the man over the interval of time
(i) 0 to 30 min, (ii) 0 to 50 min, (iii) 0 to 40 min ?
Prove that the distance covered by a uniformly accelerated body in $n ^{\text {th }}$ second
$
s_n=u+\frac{1}{2} a(2 n-1)
$
View full solution →$
s_n=u+\frac{1}{2} a(2 n-1)
$
Generate a PART - 1 CH - 2 Motion in a Straight Line paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.