Question

The displacement x of a particle varies with time t as x = 4t 2 -15t + 25. Find the position,

velocity and acceleration of the particle at t = 0. When will the velocity of the particle becomes
zero? Can we call the motion of the particle as one with uniform acceleration?

Answer 1

x = 4 t^2 - 15 t + 25 displacement of particle

dx / dt = 8 t - 15 velocity of particle

d^2x / dt^2 = 8 acceleration of particle

If 8 t -15 = o then t = 8 / 15

Since acceleration is a constant 8 then motion has uniform acceleratkon