You're driving down the highway late one night at 18m/s when a deer steps onto the road 39m in front of you. your reaction time before stepping on the brakes is 0.50s , and the maximum deceleration of your car is 12m/s2 .
how much distance is between you and the deer

when you come to a stop?
=17m

what is the maximum speed you could have and still not hit the deer?
= ?

Part a)

Part b)

Part c)

Explanation:

As we know that initial speed of the car is

Now reaction time is given as

t =0.50 s

so the distance moved by the car is given as

now the deceleration of the car is given as

so the distance after which it is stopped is given as

so distance between car and deer is given as

Part b)

time taken to stop the car is given as

so total time to stop is given as

Part c)

maximum stopping distance could be

so here we can have

the independent variable, or the one that is intentionally manipulated is the speed.