A car starts from rest and covers a distance of 40m in 10s. Calculate the magnitude of its acceleration
Answer Details
The acceleration of an object can be calculated using the equation:
acceleration = (final velocity - initial velocity)/time
Since the car starts from rest, its initial velocity is 0. Therefore, we can simplify the equation to:
acceleration = final velocity/time
We are given that the car covers a distance of 40m in 10s. To find the final velocity, we can use the following equation of motion:
distance = (initial velocity * time) + (0.5 * acceleration * time^2)
Since the car starts from rest, its initial velocity is 0. Therefore, we can simplify the equation to:
distance = 0.5 * acceleration * time^2
Rearranging the equation, we get:
acceleration = 2 * distance/time^2
Substituting the given values, we get:
acceleration = 2 * 40m / (10s)^2
Simplifying the expression, we get:
acceleration = 0.8 m/s^2
Therefore, the magnitude of the car's acceleration is 0.80ms^-2. Answer is the correct answer.