Question

A bicycle is 10 m from a wall traveling at a rate of 4 m/s. How far from the wall will it be if it accelerates at a rate of 12 (m/s)/s for 8 seconds

Answer 1

The bicycle is a distance x away from the wall at time t according to

x = 10 m + (4 m/s) t + 1/2 (12 m/s²) t ²

so that after t = 8 s, it will be

x = 10 m + (4 m/s) (8 s) + 1/2 (12 m/s²) (8 s)² = 426 m

away from the wall.