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Motion in a Straight Line Physics - Motion in a Straight Line

Uttarakhand Board (UBSE) - STD 11 Science - Physics (Uttarakhand - English Medium). 35 questions in this chapter.

Question types

Motion in a Straight Line question types

35 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

35
Questions
5
Question groups
5
Question types
Sample Questions

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.

Q 1M.C.Q (1 Marks)1 Mark
The variation of quantity $A$ with quantity $B$, plotted in Fig. describes the motion of a particle in a straight line.
  • A
    Quantity $B$ may represent time.
  • B
    Quantity $A$ is velocity if motion is uniformly accelerated.
  • C
    Quantity $A$ is displacement if motion is uniform.
  • ✓
    All of the above

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark
Among the four graphs Fig. there is only one graph for which average velocity over the time intervel (0, T ) can vanish for a suitably chosen T. Which one is it?
  • A
  • ✓
  • C
  • D

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark
A spring with one end attached to a mass and the other to a rigid support is stretched and released.
  • A
    Magnitude of acceleration, when just released is maximum.
  • B
    Magnitude of acceleration, when at equilibrium position, is maximum.
  • C
    Speed is maximum when mass is at equilibrium position.
  • ✓
    Both $A$ and $C$

Answer: D.

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Q 4M.C.Q (1 Marks)1 Mark
A ball is bouncing elastically with a speed $1m/s$ between walls of a railway compartment of size $10m$ in a direction perpendicular to walls. The train is moving at a constant velocity of $10m/s$ parallel to the direction of motion of the ball. As seen from the ground,
  • A
    The acceleration of ball is the same as from the train.
  • B
    Speed of ball changes every $10$ seconds.
  • C
    Average speed of ball over any $20$ second interval is fixed.
  • ✓
    All of the above

Answer: D.

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Q 5M.C.Q (1 Marks)1 Mark
A graph of $x$ versus $t$ is shown in Fig. Choose correct alternatives from below:
  1. The particle was released from rest at $t = 0.$
  2. At $B, $the acceleration $a > 0.$
  3. At $C,$ the velocity and the acceleration vanish.
  4. Average velocity for the motion between $A$ and $D$ is positive.
  5. The speed at $D$ exceeds that at $E.$
  • A
    Only $A$
  • ✓
    $A , C$ and $E$
  • C
    $A ,B$ and $D$
  • D
    All of the above

Answer: B.

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Q 61 Marks Question1 Mark
It is a common observation that rain clouds can be at about a kilometre altitude above the ground.
Rate of change of momentum is force. Estimate how much force such a drop would exert on you.
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Q 71 Marks Question1 Mark
A monkey climbs up a slippery pole for 3 seconds and subsequently slips for 3 seconds. Its velocity at time t is given by v(t) = 2t(3 - t); 0 < t < 3 and v(t) = -(t - 3)(6 - t) for 3 < t < 6s in m/s. It repeats this cycle till it reaches the height of 20m.
At what time is its acceleration maximum in magnitude?
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Q 81 Marks Question1 Mark
A man is standing on top of a building $100m$ high. He throws two balls vertically, one at $t = 0$ and other after a time interval $($less than $2$ seconds$).$ The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is $+15m$ at $t = 2s$. The gap is found to remain constant. Calculate the velocity with which the balls were thrown and the exact time interval between their throw.
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Q 92 Marks Questions2 Marks
A bird is tossing (flying to and fro) between two cars moving towards each other on a straight road. One car has a speed of 18m/h while the other has the speed of 27km/h. The bird starts moving from first car towards the other and is moving with the speed of 36km/h and when the two cars were separted by 36km. What is the total distance covered by the bird? What is the total displacement of the bird?
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Q 102 Marks Questions2 Marks
It is a common observation that rain clouds can be at about a kilometre altitude above the ground.
Estimate the time required to flatten the drop.
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Q 112 Marks Questions2 Marks
A monkey climbs up a slippery pole for 3 seconds and subsequently slips for 3 seconds. Its velocity at time t is given by v(t) = 2t(3 - t); 0 < t < 3 and v(t) = -(t - 3)(6 - t) for 3 < t < 6s in m/s. It repeats this cycle till it reaches the height of 20m.
At what time is its average velocity maximum?
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Q 122 Marks Questions2 Marks
It is a common observation that rain clouds can be at about a kilometre altitude above the ground.A typical rain drop is about 4mm diameter. Momentum is mass x speed in magnitude. Estimate its momentum when it hits ground.
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Q 132 Marks Questions2 Marks
A monkey climbs up a slippery pole for 3 seconds and subsequently slips for 3 seconds. Its velocity at time t is given by v(t) = 2t(3 - t); 0 < t < 3 and v(t) = -(t - 3)(6 - t) for 3 < t < 6s in m/s. It repeats this cycle till it reaches the height of 20m.
At what time is its velocity maximum?
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Q 143 Marks Question3 Marks
A uniformly moving cricket ball is turned back by hitting it with a bat for a very short time interval. Show the variation of its acceleration with time. (Take acceleration in the backward direction as positive).
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Q 153 Marks Question3 Marks
A monkey climbs up a slippery pole for 3 seconds and subsequently slips for 3 seconds. Its velocity at time t is given by v(t) = 2t(3 - t); 0 < t < 3 and v(t) = -(t - 3)(6 - t) for 3 < t < 6s in m/s. It repeats this cycle till it reaches the height of 20m.
How many cycles (counting fractions) are required to reach the top?
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Q 163 Marks Question3 Marks
Give examples of a one-dimensional motion where:
The particle moving along positive x-direction comes to rest periodically and moves forward.
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Q 173 Marks Question3 Marks
It is a common observation that rain clouds can be at about a kilometre altitude above the ground.
If a rain drop falls from such a height freely under gravity, what will be its speed? Also calculate in km/h. ($g = 10m/s^2$)
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Q 183 Marks Question3 Marks
A particle executes the motion described by $\text{x}(\text{t})=\text{x}_0(1-\text{e}^{-\gamma\text{t}});\text{t}\ge0,\text{x}_0>0.$
Where does the particle start and with what velocity?
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Q 195 Marks Questions5 Marks
An object falling through a fluid is observed to have acceleration given by a = g - bv where g = gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. What must be the value of constant speed?
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Q 215 Marks Questions5 Marks
Refer to the graphs in Fig. Match the following.
Graph
 
Characteristic
a.
i.
has v > 0 and a < 0 throughout.
b.
ii.
has x > 0 throughout and has a point with v = 0 and a point with a = 0.
c.
iii.
has a point with zero displacement for t > 0.
d.
iv.
has v < 0 and a > 0.
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Q 225 Marks Questions5 Marks
The velocity-displacement graph of a particle is shown in Fig.
  1. Write the relation between v and x.
  2. Obtain the relation between acceleration and displacement and plot it.
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Q 235 Marks Questions5 Marks
A ball is dropped and its displacement vs time graph is as shown Fig. (displacement x is from ground and all quantities are +ve upwards).
  1. Plot qualitatively velocity vs time graph.
  2. Plot qualitatively acceleration vs time graph.
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