Question

During a softball game, a batter hits a ball upward from an initial height of 3 feet. the height, in feet, of the softball is given by s(t)= -16t+70t+3, where t is the time in seconds and t>=0 which is the closest to the time when the softball will be 50 feet above the ground?

Answer 1

the ans is 0.83 sec or 3.55 secs

Answer 2

The problem provides us with a formula which relates the distance as a function of time. Since the problem wants to find the time given the distance of 50 feet, then this formula is useful. Just substitute s = 50 and solve for t.

50 = -16t + 70t + 3
Solving for t,
t = 0.87 s