(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A car is parked near a cliff overlooking the ocean on an incline that makes an angle of 29.3 degrees with the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline and has a velocity of 9m/s when it reaches the edge of the cliff. The cliff is 15.7m above the ocean. The acceleration of gravity is 9.8m/s^2

2. Relevant equations

[itex]\theta[/itex] = 29.3

Velocity = V = 9 m/s

Initial height = 15.7 m

V_x = V cos [itex]/theta[/itex]

V_y = V sin[itex]/theta[/itex]

r_y = yo +V_oyt + 1/2gt^2 //equation for y component of the motion

r_x = V_xt //equation of x component of the motion

3. The attempt at a solution

1. Find x component

7.848263 = 9 cos (29.3)

2. Find y component

4.404444 = 9 Sin ( 29.3)

3. Find When Y motion = zero

0 = 15.7 -4.404444t - 1/2(9.8)t^2

t = 1.424256 //The car hits the water at this time

4. See how far the car goes in the X direction during the same time interval

X = 11.178448

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# Projectile motion car acceleration problem

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