In the "uniform circular motion" lab a group of students are to spin a 500 gram mass with a constant centripetal force of 5.88 n at a radius of 17.0 cm, they are to measure the period and then increase the radius and repeat the measurement for 5 different radii. if they plot v2 vs. r what is the expected slope of the linear line that should result from their plotted data.

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.