Question

The rate of change of velocity or speed is known as acceleration. If a car increases it speed form 10 to 20m/s in 2 seconds, then what is its rate of change in velocity?

A) 5 m/s/s
B) 10 m/s/s
C) 20 m/s/s
D) 40 m/s/s

Answer 1

A) 5 m/s/s

Step-by-step explanation:

Given the following data;

Initial velocity = 10m/s²

Final velocity = 20m/s²

Time, t = 2 seconds.

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

`Acceleration, a = (final \; velocity - initial \; velocity)/(time)`

Substituting into the equation, we have;

`Acceleration, a = (20 - 10)/(2)`

`Acceleration, a = (10)/(2)`

Acceleration, a = 5m/s²