What will be the acceleration of a body moving with a uniform velocity of 40m/s after 10s?
Answers
Answer:
0 m/s²
Explanation:
Here, we are given that the body is moving with a uniform velocity. Since it is moving in uniform velocity, then the velocity of the body would not change.
Recall the definition of acceleration. Acceleration is the rate of change of velocity of the body with respect to time. Here since the velocity is not changing, the acceleration would not occur or we can say that the acceleration is 0 m/s².
Mathematically,
a = (v- u)/t
(where a is acceleration, v is final velocity, u is initial velocity and t is time)
Now, since body is moving with constant speed, v = u = 40 m/s
so, a = (40 - 40)/10
⇒ a = 0/10
⇒ a = 0 m/s
So, in a uniform motion, the acceleration of body is zero.
acceleration = dv/dt
as velocity is constant that is 40 m/s
So dv = 0
So, acceleration = 0