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(13%) Problem 6: A stunt bicycle rider rides up a ramp that is 9.00 m long (along the hypotenuse) and inclined 30.0° above the horizontal. She starts from rest and has a constant acceleration of 2.00 m/s² along the ramp. 20% Part (a) If you need to find the rider's speed at the top of the ramp, you can use 1D kinematics (not 2D) by tilting the axis, so that you have 1D motion parallel to the ramp. Doing this, determine her speed in m/s at the top of the ramp. v = ____ m/s 20% Part (b) Using the same method as in the previous part, determine how long in seconds it takes the rider to reach the top of the ramp. 20% Part (c) Now say that the bicyclist flies off the end of the ramp over a moat filled with sharks. The moat is 6.0 m wide. Once the rider leaves the ramp, the engine force doesn't act anymore. The only force that acts is gravity. While the bike travels through the air, would you need 1D or 2D kinematics to solve this? Is acceleration constant or non-constant for this part of the motion? 20% Part (d) Use trigonometry to find the rider's height above the ground in meters just as she leaves the ramp. 20% Part (e) Make a calculation to find the total distance she traveled in meters and determine if she made a safe landing.

          (13%) Problem 6: A stunt bicycle rider rides up a ramp that is 9.00 m long (along the hypotenuse) and inclined 30.0° above the horizontal. She starts from rest and has a constant acceleration of 2.00 m/s² along the ramp.

20% Part (a) If you need to find the rider's speed at the top of the ramp, you can use 1D kinematics (not 2D) by tilting the axis, so that you have 1D motion parallel to the ramp. Doing this, determine her speed in m/s at the top of the ramp.
v = ____ m/s

20% Part (b) Using the same method as in the previous part, determine how long in seconds it takes the rider to reach the top of the ramp.

20% Part (c) Now say that the bicyclist flies off the end of the ramp over a moat filled with sharks. The moat is 6.0 m wide. Once the rider leaves the ramp, the engine force doesn't act anymore. The only force that acts is gravity. While the bike travels through the air, would you need 1D or 2D kinematics to solve this? Is acceleration constant or non-constant for this part of the motion?

20% Part (d) Use trigonometry to find the rider's height above the ground in meters just as she leaves the ramp.

20% Part (e) Make a calculation to find the total distance she traveled in meters and determine if she made a safe landing.

(13%) Problem 6: A stunt bicycle rider rides up a ramp that is 9.00 m long (along the hypotenuse) and inclined 30.0° above the horizontal. She starts from rest and has a constant acceleration of 2.00 m/s² along the ramp.

20% Part (a) If you need to find the rider's speed at the top of the ramp, you can use 1D kinematics (not 2D) by tilting the axis, so that you have 1D motion parallel to the ramp. Doing this, determine her speed in m/s at the top of the ramp.
v = m/s

20% Part (b) Using the same method as in the previous part, determine how long in seconds it takes the rider to reach the top of the ramp.

20% Part (c) Now say that the bicyclist flies off the end of the ramp over a moat filled with sharks. The moat is 6.0 m wide. Once the rider leaves the ramp, the engine force doesn't act anymore. The only force that acts is gravity. While the bike travels through the air, would you need 1D or 2D kinematics to solve this? Is acceleration constant or non-constant for this part of the motion?

20% Part (d) Use trigonometry to find the rider's height above the ground in meters just as she leaves the ramp.

20% Part (e) Make a calculation to find the total distance she traveled in meters and determine if she made a safe landing.

Added by Lucas J.

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