The image above represents distance covered.

To compute for distance covered, three essential parameters are needed and these parameters are **initial velocity (u), acceleration (a) **and **time (t).**

The formula for calculating distance covered:

S = ut + 0.5at²

Where;

S = Distance Covered

u = Initial Velocity

t = Time

a = Acceleration

Let’s solve an example;

Find the distance covered when the initial velocity is 21, acceleration is 10 and the time is 15.

This implies that;

u = Initial Velocity = 21

t = Time = 15

a = Acceleration = 10

S = ut + 0.5at²

S = (21 x 15) + (0.5 x 10 x 15²)

S = 315 + (0.5 x 10 x 225)

S = 315 + (1125)

S = 1440

Therefore, the **distance covered **is **1440 m .**

**Calculating the Initial Velocity when the Distance Covered, the Acceleration and the Time is Given.**

u = ^{S – 0.5at}^{2} / _{t}

Where;

u = Initial Velocity

S = Distance Covered

t = Time

a = Acceleration

Let’s solve an example;

Find the initial velocity when the distance covered is 48 with a time of 8 and an acceleration of 9.

This implies that;

S = Distance Covered = 48

t = Time = 8

a = Acceleration = 9

u = ^{S – 0.5at}^{2} / _{t}

u = ^{48 – 0.5(9)(8}^{2}) / _{8}

u = ^{48 – 0.5(9)(64)} / _{8}

u = ^{48 – 288} / _{8}

u = ^{– 240} / _{8}

u = – 30

Therefore, the **initial velocity **is **– 30 m/s.**

Continue reading How to Calculate and Solve for Distance Covered | Motion