A skateboarder in a death-defying stunt decides to launch herself from a ramp on a hill. The skateboarder leaves the ramp at a height of 1.4 m above the slope, traveling 15 m s-1 and at an angle of 40o to the horizontal. The slope is inclined at 45o to the horizontal. a) How far down the slope does the skateboarder land? b) How long is the skateboarder in the air? c) With what velocity does the skateboarder land on the slope?

. A skateboarder in a death-defying stunt decides to launch herself from a ramp on a hill. The skateboarder leaves the ramp at a height of 1.4 m above the slope, traveling 15 m s-1 and at an angle of 40o to the horizontal. The slope is inclined at 45o to the horizontal.
a) How far down the slope does the skateboarder land? b) How long is the skateboarder in the air? c) With what velocity does the skateboarder land on the slope?
A car is driving around a bank curve such that it can safely go around a circular curve at a given velocity, vo, even when on ice (zero friction). Any slower and the car would slide down towards the center of the circle, any faster and the car would slide up the hill and away from the center of the circle. If a static frictional coefficient, , is introduced then the car can safely navigate around the curve at any speed between a minimum speed of vmin and a maximum speed of vmax. Can you find expressions for vmin and vmax as a function of vo, and the radius of the road, R.
In a cardiac stress test the patient is required to walk on an inclined treadmill. Imagine that the patients mass is 80 kg and that the inclined treadmill is at a slope of 15o. The efficiency of the human body can be taken to be 25%.
a) Obtain an expression for the power required by the patient to maintain a velocity of 3 m s-1. b) How long would the patient have to walk on the treadmill to burn the energy contained in a bottle of beer, a slice of pizza and a jelly doughnut?