A stone is thrown outward from the top of a 59.4-m high cliff with an upward velocity component of 19.5 m/s. How long is stone in the air?
A) 4.00 s
B) 5.00 s
C) 6.00 s
D) 7.00 s
E) 8.00 s

Question

Quizplus · Accepted Answer

The time the stone is in the air can be calculated using the kinematic equation for vertical motion: $ h = v_i t + \frac{1}{2} g t^2 $, where $ h $ is the height (59.4 m), $ v_i $ is the initial vertical velocity (19.5 m/s), and $ g $ is the acceleration due to gravity (-9.8 m/s²). Solving this quadratic equation gives approximately 6 seconds.

A Stone Is Thrown Outward from the Top of a 59.4-M