The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

The crossbar of the goalposts in American football is yc = 10 ft above the ground. To kick a field goal, the kicker must make the ball go between the two uprights supporting the crossbar, and the ball must be above the crossbar when it does so. Suppose that the kicker attempts a 40-yd field goal (xc = 120 ft) and kicks the ball with initial velocity v0 = 70 ft/s and angle θ0 = 40°. By what vertical distance does the ball clear the crossbar?