Problem 5*/**
After a long day at work Walt returns home with a pizza to share with his wife Skyler. However, on discovering that Walt is the cook, Skyler rejects his kind offer of pizza. In his fury Walt steps outside and launches the pizza onto the roof of the garage.
Walt throws the pizza from a horizontal distance of 2 m from the garage door, which has a roof starting at a height of 3m above the ground. Given that he projects it from a vertical height of 1m, and can throw a pizza at 10 ms-1, calculate the minimum angle of projection required in order for the pizza to reach the roof.
When launched, the pizza rotates at a constant rate of 90 rpm. Calculate the angular distance traveled, in radians, during the time of flight.
The garage roof is sloped at an angle of 40o to the horizontal. Given that the coefficient of static friction between roof and pizza is 1.0 determine whether or not the pizza will slide off the roof.
Assume gravity to be 10 ms-2 and ignore air resistance for all questions.