A skier leaves a ski jump with a horizontal velocity (and no vertical velocity component).If the magnitude of the vertical component of her velocity the instant before she lands is 25 m/s,how much time elapses between leaving the jump and landing?
A)2.0 s
B)1.0 s
C)4.6 s
D)2.5 s
E)Not enough information is given to determine the time of flight.

Question

Quizplus · Accepted Answer

The time of flight can be determined using the vertical component of the velocity and the acceleration due to gravity. The formula $v = gt$ can be rearranged to $t = \frac{v}{g}$, where $v = 25 \, \text{m/s}$ is the final vertical velocity and $g = 9.8 \, \text{m/s}^2$ is the acceleration due to gravity. Plugging in the values, $t = \frac{25}{9.8} \approx 2.55 \, \text{s}$, which rounds to 2.5 seconds.

A Skier Leaves a Ski Jump with a Horizontal Velocity