Maximum velocity of a car leaving inclined ramp.

[aliensk]

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!

 

[physixguru]

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

 

[Moetasim]

I would recommend clarifying the specifications of the inclined ramp with the stunt driver. It is important to have precise measurements in order to accurately calculate the maximum velocity needed for the car to successfully jump over the 8 cars.

Assuming that the ramp is still 1.5m high, but now tilted at a 10 degree angle, the minimum speed required would be higher than 36.166 ms-1 as the car now has to travel a longer distance in order to clear the 8 cars. The exact calculation would depend on the length of the inclined ramp and the angle of the incline.

In general, increasing the angle of the ramp will require a higher maximum velocity in order to successfully complete the jump. It is important for the stunt driver to carefully consider these factors and make necessary adjustments to ensure a safe and successful stunt.