Question

The displacement x of a partice at time t along a straight line is given by x = a - bt + ct^2 . Find the acceleration o the particle

Answer 1

x = a - bt + ct^2

To find acceleration first we need to find velocity.

V = dx / dt

V = d( a - bt + ct^2) / dt

V = -b + 2ct

Now

A = dV / dt

A = d( -b + 2ct) / dt

A = 2c

Hence acceleration is 2c.


Thanks