Question

The displacement x of a particle varies with time as x = 4t² – 15t + 25. Find the position, velocity and acceleration of the particle at t = O.

Answer 1

Position, x = 25 m 

Velocity = \(\frac{dx}{dt}\) 8t – 15 

t = 0, v = 0 – 15 = -15 m/s 

acceleration, a = \(\frac{dx}{dt}\)= 8 ms^-2