A constant retardation of 2.5 m/s^2 is applied to a body of mass 20kg moving initially with a speed of 15m/s how long does the body take to stop
Answers
Answer:
19 second s body will take
Answer: The time required to stop the body in the given conditions is 6 seconds.
Explanation:
Acceleration acting on the body = - 2.5 m/s².
Note the negative sign is because the acceleration is acting opposite to the motion of the body
Mass of the body = 20 kg.
Initial speed of the body = 15m/s.
Now, using the equations of motion we can write:
v = u + at --------------------------(1)
Where,
v = final velocity equal to zero as the particles come to rest ultimately.
u = initial velocity of the body.
a = acceleration of the body.
t = time taken to reach from initial to the final velocity of the body.
So, from equation (1) we get
0 = 15 + (-2.5)t
=> t = = 6 seconds.
Therefore, the time required to stop the body in the given conditions is 6 seconds.