Question

A ball is thrown up with a speed of 15m/s. How high will it go before it begins to fall? ( g = 10m/s2 )

Answer 1

Height is 11.25m

Step-by-step explanation:

Given the following data;

Initial velocity, u = 0

Final velocity, v = 15m/s

Acceleration due to gravity, g = 10m/s²

To find the height, we would use the third equation of motion;

`V^(2) = U^(2) + 2aS`

Where;

• V represents the final velocity measured in meter per seconds.

• U represents the initial velocity measured in meter per seconds.

• a represents acceleration measured in meters per seconds square.

• S represents the displacement (height) measured in meters.

`V^(2) = U^(2) + 2aS`

Making S the subject, we have;

`S = \frac {V^(2) - U^(2)}{2a}`

But a = g = 10m/s²

Substituting into the equation, we have;

`S = \frac {15^(2) - 0^(2)}{2*10}`

`S = \frac {225 - 0}{20}`

`S = \frac {225}{20}`

S = 11.25m

Therefore, the ball will reach a height of 11.25m before it begins to fall.