Question

One of your fellow students comes up to you and asks the following question, "If an object is not moving, can it be accelerating?" Based on your prior knowledge of this topic, what is the best response? A). Yes, becuase acceleration depends on the rate of change of velocity and not the value of velocity itself.

B). No, acceleration and velocity are equivalent, so if one equals zero, the other must also equal zero.
D). Yes, but only if the object's acceleration is very small.
D). Yes, but only if the acceleration is negative in order to keep velocity equal to zero.

Answer 1

correct answer is option A (Yes, becuase acceleration depends on the rate of change of velocity and not the value of velocity itself.)

Step-by-step explanation:

we know that from first equation of motion,

v=u+at

0r

`a=(v-u)/(t)`............(1)

here,

v-final velocity

u-initial velocity

a-acceleration

t-time

if a body is not moving it means if its initial velocity is zero (u=0) and if after time t it moves with velocity v then its acceleration will be given as

`a=(v)/(t)`...........(2)

From above equation it is clear that if an object is not moving, it can be accelerating because acceleration depends on rate of change of velocity and not the value of velocity itself.