Darth Vader has stolen a Bugatti Chiron (high speed sports car) and is now driving at aconstant velocity of 120 mph down the street for 45 seconds. Suddenly, he sees a family ofgeese crossing the street 200mahead and presses the brakes immediately (assume constant acceleration as he comes to a stop). He just barely avoids running over the geese. Putanswers in terms of SI units.

Required:
a. What is his acceleration as he comes to a stop?
b. How long does it take Vader to stop?
c. What is the total distance traveled?

Respuesta :

The acceleration is 1.2 m/s^2. The distance travelled is 1197 m. The time taken is 44.7 seconds.

What is acceleration?

The rate at which the velocity changes is  called the acceleration of the body.

Given that;

v = u - at

v = 0 m/s because the car comes to stop

u = at

a = u/t

a = 53.6 m/s/ 45 seconds

a = 1.2 m/s^2

The distance travelled is;

v^2 = u^2 - 2as

v = 0 m/s

u^2 = 2as

s = u^2/2a

a = ( 53.6 )^2/2 * 1.2

s = 1197 m

Time taken to stop is obtained from;

v = u - at

when v = 0 m/s

u = at

t = u/a

t = 53.6/1.2

t = 44.7 seconds

Learn more about acceleration:https://brainly.com/question/12550364?

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