Question

The position of a particle moving along a coordinate axis is given by s(t) = t^2 - 5t + 1. Find the speed ,velocity and acceleration

Answer 1

speed is 2t - 5

velocity is 2t - 5

a = 2 m/s²

Explanation:

Given the position of a particle expressed as:

s(t) = t^2 - 5t + 1

speed v = ds/dt

ds/dt = 2t - 5

Hence the speed is 2t - 5

velocity can also be expressed as the speed, hence, velocity is 2t - 5

Acceleration is the change in velocity with respect to time. Hence;

a = dv/dt

a = 2 m/s²