Acceleration and Displacement Calculation in Bike Riding

How is the initial velocity of a bike calculated?

Given that a bike rider accelerates constantly to a velocity of 7.5m/s during 4.5s with a displacement of 19m, what was the initial velocity of the bike?

• Calculate the initial velocity of the bike based on the provided data.

Calculation of the Initial Velocity of the Bike

The initial velocity of the bike can be determined by analyzing the displacement and time elapsed during acceleration. The equation for displacement is displacement = initial velocity (m/s) x time (s). Therefore, the initial velocity can be found by rearranging the equation as initial velocity = displacement (m) / time (s).

In this scenario, the displacement is 19m and the time taken is 4.5s. By substituting these values into the equation, we can calculate the initial velocity as initial velocity = 19m / 4.5s. This calculation results in an initial velocity of 4.22m/s.

This means that the bike rider's initial velocity was 4.22m/s before accelerating to the final velocity of 7.5m/s in 4.5s. The relationship between displacement, time, and initial velocity can be accurately determined through this calculation.