A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 4.00 m/s2 for a distance of 50.0 m to the edge of the cliff, which is 30.0 m above the ocean. Find (a) the car's position relative to the base of the cliff when the car lands in the ocean and (b) the length of time the car is in the air.

Question

Shayla Rich

Physics

24 September, 15:46

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 4.00 m/s2 for a distance of 50.0 m to the edge of the cliff, which is 30.0 m above the ocean. Find (a) the car's position relative to the base of the cliff when the car lands in the ocean and (b) the length of time the car is in the air.

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Answers (1)

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Chelsea Landry · Answer 1

(a) : The car's relative position to the base of the cliff is x = 32.52m.

(b) : The lenght of the car in the ir is tfall = 1.78 sec.

Explanation:

Vo = 0

V=?

d = 50m

h = 30m

a = 4 m/s²

t = √ (2*d/a)

t = 5 sec

V = a*t

V = 20 m/s

Vx = V * cos (24º)

Vx = 18.27 m/s

Vy = V * sin (24º)

Vy = 8.13 m/s

h = Vy*t + g*t²/2

clearing t:

tfall = 1.78 sec (b)

x = Vx * tfall

x = 32.52 m (a)