Question

A bus initially moving at 20 m/s with an acceleration of -4m/s2 for 5

Answer 1

Answer:

50m; 0m/s.

Explanation:

Given the following data;

Initial velocity = 20m/s

Acceleration, a = - 4m/s²

Time, t = 5secs

To find the displacement, we would use the second equation of motion;

$S = ut + \frac {1}{2}at^{2}$

Substituting into the equation, we have;

$S = 20*5 + \frac {1}{2}*(-4)*5^{2}$

$S = 100 + (-2)*25$

$S = 100 - 50$

Displacement, S = 50m

Next, to find the final velocity, 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.

Substituting into the equation, we have;

$V^{2} = U^{2} + 2aS$

$V^{2} = 20^{2} + 2(-4)*50$

$V^{2} = 400 - 400$

$V^{2} = 0$

Final velocity, V = 0m/s

Therefore, the displacement of the bus is 50m and its final velocity is 0m/s.