Question

ou are driving down 195 north at 28 m/s. You see a deer running across the road and hit your brakes which slows your car at a rate of 4m/s². If it takes his car 7 seconds to come to a full stop, how far did he travel?

Answer 1

The car traveled a distance of 147 meters before coming to a full stop.

Step-by-step explanation:

To find the distance the car traveled, we need to use the equation

d = vit + 1/2at2

where d is the distance, vi is the initial velocity, t is the time, and a is the acceleration.

Given that the car's initial velocity is 28 m/s, the acceleration is -4 m/s² (negative because the car is slowing down), and the time is 7 seconds, we can plug in these values into the equation:

d = (28 m/s)(7 s) + 1/2(-4 m/s²)(7 s)2

Simplifying the equation, we get:

d = 196 m - 49 m = 147 m

Therefore, the car traveled a distance of 147 meters before coming to a full stop.