Kinematics

Given $x(t) = 3t^2 + 2t$, find $v(t)$ at $t=2s$.

A car travels 100m in 10s. What is its average velocity?

A car starts from rest and accelerates to 20 m/s in 5 seconds, then maintains that speed for 10 seconds. What is the average velocity and average acceleration for the whole journey?

Given $x(t) = t^3 - 6t^2 + 9t$, find the time when the velocity is zero.

A person walks 5m East, then 3m West. What is the displacement?

Given $v(t) = 2t^3 - t$, find $a(t)$ at $t=1s$.

A runner runs 400m in 60s, then walks back 100m in 30s. Find the average velocity for the entire trip.

A bike accelerates from 5m/s to 15m/s in 5s. What is the average acceleration?

A car slows down from 20 m/s to 5 m/s in 5 seconds. Calculate the average acceleration.

A car is moving at a constant speed around a circular track. Is it accelerating?