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You're driving down the highway late one night at 21 m/s when a deer steps onto the road 38 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/s2 . Part A How much distance is between you and the deer when you come to a stop

Respuesta :

The distance between you and the deer when you come to a stop is 5.45 m.

What is distance?

The distance is the length of path travelled by a body when moving with some speed and taking time t.

You're driving down the highway late one night at 21 m/s when a deer steps onto the road 38 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/s² .

The distance travelled in 0.5s is

distance = speed x time

d = 21 x 0.5

d= 10.5 m

Remaining distance between car and deer is

D = 38 -10.5 =27.5 m

Final speed after applying brake is zero. Distance to be covered is 27.5 m

Using the third equation of motion,

v² - u² = 2as

Substitute the values, we get

0 - 21² = 2 x (-10) x s

s = 22.05 m

Final distance between car and deer after the car came to rest is

D-s = 27.5 - 22.05 = 5.45 m

Thus, distance between you and the deer when you come to a stop is 5.45 m.

Learn more about distance.

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