Question

7. The velocity of a body varies as cube of time elapsed. The acceleration of 1 point the body will be . O A increases linearly B decreases linearly O C increases non-linearly O D constant W 1 point 8. The acceleration of a body under free fall is *​

Answer 1

Answer:

Let displacement be s

So, s is prop to t

3

s=kt

3

Where k is the proportionality constant

On differentiation

dt

ds

=3kt

2

⇒v=3kt

2

On again differentiation

dt

2

d

2

s

=6kt

⇒a=6kt

So,a is proportional to t

Where 6k is the proportionality constant

Acceleration is directly proportional to time, it varies linearly with time and increases with respect to time.