Question

A bus changes its velocity from 5 m/s to 15 m/s in 5 seconds. What is its acceleration?

A 2 m/s2
B 5 m/s2
C 25 m/s2
D) 75 m/s2

Answer 1

`\boxed {\boxed {\sf A. \ 2 \ m/s^2}}`

Step-by-step explanation:

Acceleration is the rate of velocity's change with time.

We can calculate it by dividing the change in velocity over time.

`a=(v_f-v_i)/(t)`

Let's define the variables. The final velocity is 15 meters per second. The initial velocity is 5 meters per second. The time is 5 seconds.

`v_f= 15 \ m/s \\v_i= 5 \ m/s \\t= 5 \ s`

Substitute the values into the formula.

`a=(15 \ m/s- 5 \ m/s)/(5 \ s )`

Solve the numerator first.

• 15 m/s - 5 m/s= 10 m/s

`a=(10 \ m/s)/(5 \ s)`

Divide.

`a= 2 \ m/s/s = 2 \ m/s^2`

The acceleration of the bus is 2 meters per second squared.