The velocity of a particle is given by v=20t² - 100t + 50, where v is in meters per second and t is in seconds. evaluate the velocity when a is zero and the distance travelled at that instant.

Explanation:

It is given that,

The velocity of a particle is given by :

Where

v is in m/s and t is in seconds

Let a is the acceleration of the object at time t. So,

When a = 0

t = 2.5 s

a is zero at t = 2.5 s. Velocity,

v = -75 m/s

Since, , s is the distance travelled

At t = 2.5 s,

s = −83.34 m

Hence, this is the required solution.