6. Application of derivatives - Gujarat Board (GSEB) STD 12 Science Maths Questions

641

Questions

1

Question groups

5

Question types

01

M.C.Q (1 Marks)

641 Q→

Sample Questions

6. Application of derivatives 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 displacement of a particle in time $ t$ is given by $s = 2{t^2} - 3t + 1$. The acceleration is

A
$1$
B
$3$
✓
$4$
D
$5$

Answer: C.

View full solution →

Q 2M.C.Q (1 Marks)1 Mark

The equation of motion of a car is $s = {t^2} - 2t$, where $t$ is measured in hours and $s$ in kilometers. When the distance travelled by the car is $15\,km$, the velocity of the car is ......... $km/h$.

A
$2$
B
$4$
C
$2$
✓
$8$

Answer: D.

View full solution →

Q 3M.C.Q (1 Marks)1 Mark

A stone moving vertically upwards has its equation of motion $s = 490t - 4.9{t^2}$. The maximum height reached by the stone is

✓
$12250$
B
$1225$
C
$36750$
D
None of these

Answer: A.

View full solution →

Q 4M.C.Q (1 Marks)1 Mark

The edge of a cube is increasing at the rate of $5 \, cm/\sec .$ How fast is the volume of the cube increasing when the edge is $12\,cm$ long ......... $c{m^3}/\sec $.