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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 leave
Question
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 3.82 m/s2 for a distance of 60.0 m to the edge of the cliff, which is 50.0 m above the ocean.
Required:
Find the car’s position relative to the base of the cliff when the car lands in the ocean.
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Physics
3 years
2021-08-22T21:05:08+00:00
2021-08-22T21:05:08+00:00 1 Answers
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Answers ( )
Answer:
The position is
relative to the base of the ocean
Explanation:
From the question we are told that
The angle made by the incline with the horizontal is
The constant acceleration is
The distance covered is
The height of the cliff is
The velocity of the car is mathematically represented as
The initial velocity of the car is u= 0
So
substituting values
The vertical component of this velocity is
substituting values
The negative sign is because is moving in the negative direction of the y-axis
The horizontal component of this velocity is
Now according to equation of motion we have
substituting values
using quadratic equation we have that
given that time cannot be negative
The car’s position relative to the base of the cliff when the car lands in the ocean is mathematically evaluate as
substituting values