Solving for Car Speed and Stopping Time in a Braking Scenario

[Alexanddros81]

Homework Statement

11.9 The brakes of a car are applied, causing it to slow down at a rate of $10 ft/s^2$.
Knowing that the car stops in 300 ft, determine (a) how fast the car was traveling immediately
before the brakes were applied, (b) the time required for the car to stop

Homework Equations

The Attempt at a Solution

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Can you check my solution?

 

[PeroK]

Acceleration is constant, so your integration leads to the standard SUVAT formulas, that you may be expected to know:

$v^2 - v_0^2 = 2as$

$v - v_0 = at$

Not that integrating is wrong, but it's unusual to see it in these cases.

Your numerical answers look right.