eiraszero11cu

2022-01-07

A car braked with a constant deceleration of 16 ft/s^2 , producing skid marks measuring 200 ft before coming to a stop. How fast was the car traveling when the brakes were first applied?

Travis Hicks

Beginner2022-01-08Added 29 answers

Step 1

We can make it the forward direction is positive, since acceleration is in the opposite direction of forvard if is slowing down.

Step 2

Find the antiderivative, which is velocity

At this point

Step 3

Find the antiderivative, which is the position

If we let the position at time t=0 be the 0 position, then C=0

Stella Calderon

Beginner2022-01-09Added 35 answers

Step 4

When the position is 200 ft, we have

Step 5

When the velosity is 0 we have

karton

Expert2022-01-10Added 613 answers

Step 6

Set the two equal to each other and solve for t.

We use the positive number, t=5 s

(the time it took to come to a stop)

Step 7

Plug into one of the expressions we have for

Result

80 ft/s

22+64

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