Maximum velocity of a car leaving inclined ramp.

Click For Summary
SUMMARY

The discussion focuses on calculating the maximum speed required for a car to jump over eight parked cars from a ramp. For a horizontal ramp at a height of 1.5 meters, the required speed is 36.166 m/s. When the ramp is tilted at a 10-degree angle, the vertical height remains 1.5 meters, but the effective height decreases due to the slope, necessitating a recalculation of the minimum speed for the jump.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of trigonometric functions and their application in physics
  • Familiarity with kinematic equations
  • Basic concepts of velocity components in two-dimensional motion
NEXT STEPS
  • Study projectile motion equations in-depth
  • Learn how to apply trigonometry to solve physics problems involving angles
  • Explore kinematic equations for two-dimensional motion
  • Investigate the effects of ramp angles on projectile trajectories
USEFUL FOR

Physics students, stunt coordinators, and engineers involved in vehicle dynamics and trajectory analysis will benefit from this discussion.

aliensk
Messages
1
Reaction score
0

Homework Statement


A stunt driver wants to make his car jump over 8 cars parked side my side below a horizontal ramp. (a) With what maximum speed must he drive off the horizontal ramp? The vertical height of the ramp is 1.5m above the cars and the horizontal distance he must clear is 20m. (b) What is the new minimum speed if the ramp is now tilted upward, so that "takeoff angle" is 10 degrees above the horizontal, and nothing else is changed?


Homework Equations


I have worked out the answer to part (a), with a speed of 36.166 ms-1 leaving the horizontal ramp.


The Attempt at a Solution


I have a few queries... If the ramp is 10 degrees sloped, does that mean the ramp is taller than 1.5m or is it sloped so that it is at the same height? I'm lead to assume its still 1.5m as everything is the same.

Please Help!
 
Physics news on Phys.org
Initially when the jump was horizontal..there was no vertical component of velocity.
Now due to jump made at an angle..the car now possesses both vertical and horizontal components of velocity.

Sloping always decreases the vertical height of the ramp.Use simple trigo to know why.:p
 

Similar threads

How does a mass moving up a ramp change its velocity?
  • · Replies 5 ·
Replies
5
Views
2K
Downward Projectile Motion on an Inclined Plane
  • · Replies 2 ·
Replies
2
Views
6K
What's the Minimum Speed for a Stunt Car Jump at 10° Angle?
  • · Replies 8 ·
Replies
8
Views
9K
Car on a ramp with uneven weight distribution
  • · Replies 3 ·
Replies
3
Views
3K
Final velocity of a car rolling down a ramp using energy
  • · Replies 1 ·
Replies
1
Views
3K
Finding max. distance and time (projectile motion)
  • · Replies 1 ·
Replies
1
Views
1K
Minimum Speed for Stunt Car Jump over Parked Cars
  • · Replies 2 ·
Replies
2
Views
17K
Projectile Motion - Skier & Ramp
  • · Replies 5 ·
Replies
5
Views
6K
Draw a FBD, calculate tension in the string, determine mass
  • · Replies 8 ·
Replies
8
Views
3K
Calculating Minimum Speed for a Successful River Jump
  • · Replies 5 ·
Replies
5
Views
2K