Projectile Motion of Car and Cliff

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SUMMARY

The discussion focuses on the projectile motion of a car rolling off a cliff, specifically analyzing a scenario where a car accelerates down an incline at 4.00 m/s² over a distance of 50.0 m before falling 30.0 m into the ocean. The calculated horizontal displacement when the car lands is 32.5 m, and the time in the air is 1.78 seconds. Key equations utilized include dy = ½• g•t² + vo• t + h and vx = constant, which are essential for solving projectile motion problems.

PREREQUISITES
  • Understanding of kinematic equations for projectile motion
  • Knowledge of vector resolution for velocity components
  • Familiarity with concepts of acceleration and displacement
  • Basic principles of free fall and gravitational acceleration
NEXT STEPS
  • Study the derivation and application of kinematic equations in projectile motion
  • Learn about vector decomposition and its role in physics problems
  • Explore the effects of different angles of projection on range and time of flight
  • Investigate real-world applications of projectile motion in engineering and safety analysis
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for examples of real-world applications of kinematic equations.

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Homework Statement


A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0º 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 cliffs edge. The cliff is 30.0 m above the ocean. Find (a) the cars 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.


Homework Equations


dy = ½• g•t2 + vo• t + h
vy = a•t + vo
dx = vx•t + ho
vx = constant


The Attempt at a Solution


The answers are giving to me as a)dx = 32.5 m and b) t = 1.78 s, but I have tried greatly to get there and no matter how I plug in the data I never seem to get it right
 
Physics news on Phys.org
1) Car starts from rest. Acceleration is given. Displacement is given. Find the final velocity vf at the edge of the cliff.
2) Resolve vf into vertical and horizontal components.
3) Find the time to reach the ocean
4) Find the horizontal displacemnt.
 

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