What Goes Up (a) It is well-known that the model in which air resistance is ignored

Chapter 2, Problem 51

(choose chapter or problem)

What Goes Up (a) It is well-known that the model in which air resistance is ignored, part (a) of 36, predicts that the time ta it takes the cannonball to attain its maximum height is the same as the time td it takes the cannonball to fall from themaximumheighttothe ground. Moreover, the magnitude of the impact velocity V; will be the same as the initial velocity v0 of the cannonball. Verify both of these results. (b) Then, using the model in that takes linear air resistance into account, compare the value of ta with td and the value of the magnitude of v; with v0 A root-finding application of a CAS (or graphic calculator) may be useful here.