Applications of Derivatives Test

Result

Applications of Derivatives Test - 42

Score
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Rank
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TIME Taken - -

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Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A

B

C

D
Not defined

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

A stone is falling freely and describes a distance s in t seconds given by equation s = 1/2 gt². The acceleration of the stone is

A
Uniform

B
Zero

C
Non – uniform

D
Indeterminate

Solution
Question 6
4 / -1

The equation of motion of a particle is given by s = 2t³ – 9t² + 12t + 1, where s and t are measured in cm and sec. The time when the particle stops momentarily is

A
1sec

B
2 sec

C
1, 2 sec

D
None of the above

Solution
Question 7
4 / -1

If a spherical Balloon has a variable diameter 3x + 9/2, then the rate of charge of its volume with respect to x is

A

B

C

D
None of these

Solution
Question 8
4 / -1

The velocity of a particle at time t is given by the relation v = 6t – t²/6. The distance travelled in 3 seconds is, if s = 0 at t = 0

A

B

C

D

Solution
Question 9
4 / -1

The equation of motion of a car is s = t² – 2t, where is measured in hours and s in kilometres. When the distance travelled by a car is 15 km, the velocity of the car is

A
2 km/h

B
4 km/h

C
3 km/h

D
8 km/h

Solution
Question 10
4 / -1

A stone moving vertically upwards has its equation of motion s = 490t – 4.9 t². The maximum height reached by the stone is

A
12250

B
1225

C
36750

D
None of these

Solution