Question

A car is initially travelling at 50.0 km/hr. The brakes are applied and the car stops over a 35m distance.

What was magnitude of the car's acceleration while it was braking?

Answer 1

The magnitude of the car's acceleration while braking is -0.694 m/s².

Step-by-step explanation:

Acceleration can be defined as the rate at which an object's velocity changes. In this case, the car's initial velocity is 50.0 km/hr, and it comes to a stop over a distance of 35m. To find the magnitude of the car's acceleration, we can use the equation:

acceleration = (final velocity - initial velocity) / time

Since the car stops, the final velocity is 0 km/hr. Let's assume the time taken to stop is t. So,

0 = (50.0 km/hr - 0 km/hr) / t

t = (50.0 km/hr)−1 = 0.02 hr

Now, we need to convert the time from hours to seconds:

t = 0.02 hr × 3600 sec/hr = 72 sec

Thus, the magnitude of the car's acceleration while braking is:

acceleration = (0 km/hr - 50.0 km/hr) / 72 sec = -0.694 m/s².