A car is driving 25.5 m/s when it hits
the brakes. It moves 88.4 m while
decelerating at -2.40 m/s2
How much time does it take?
(Unit = 5)
Watch your minus signs!

it takes the car 4.362 seconds to cover the distance of 88.4 m.

Explanation:

The distance the car covers is given by the function

,

where , and , putting  these in we get:

Now, when the car has moved to 88.4m, , or

which is a quadratic equation with solutions

We take the first solution , since at that time the car is still moving right and decelerating. The second solution describes the situation where the car has stopped decelerating and is now moving leftwards because the decelerating is leftwards, which is utterly wrong because we know that cars do not start moving backwards after the brakes have stopped them!

Thus, it takes the car 4.362 seconds to cover the distance of 88.4 m.

true

explanation:

graphing motion: mastery test

209be

what is the instantaneous acceleration of

the particle at point b?

0 meters/second?

10 meters/second?

12 meters/second?

velocity imetersisecond

15 meters/second?

20

time (seconds)

answer: 0 meters/second^2