Question

In: Physics

A car is parked on a cliff overlooking the ocean on an incline that makes an...

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 21.0° 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 3.37 m/s2 for a distance of 50.0 m to the edge of the cliff, which is 30.0 m above the ocean.

(a) Find the car's position relative to the base of the cliff when the car lands in the ocean.
m

(b) Find the length of time the car is in the air.
s

Solutions

Expert Solution

Given that the car rolls down a distance of 50m at a acceleration of 3.37m/s2 after starting from rest.

Find the velocity of the car at the edge of the cliff.

Use formula

=================

So launch velocity,

vertical launch velocity,

horizontal launch velocity,

(b) Time of flight

Given that ocean is 30m below the edge of the cliff

Consider vertical motion of the car

Use formula

Solve the quadratic equation using a calculator

(b) ANSWER:

========================

(a) Horizontal distance covered

Consider the horizontal motion of the car

There is no acceleration in horizontal direction, so horizontal speed remains constant

Horizontal speed =horizontal distance / Time

(a) ANSWER :

========================

genius_generous answered 7 months ago
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