A skier leaves a ski jump with a horizontal velocity of 24.0 m/s (and no vertical velocity component).The skier lands two seconds later.What is the magnitude of the vertical component of the skier's displacement during the jump
A)32.2 m
B)19.6 m
C)48.0 m
D)28.3 m

Question

Quizplus · Accepted Answer

Using the kinematic equation: 
Δy = vi*t + 0.5*a*t^2
where vi is the initial velocity (in the y-direction), t is the time, and a is the acceleration due to gravity (-9.8 m/s^2)
Since there is no initial vertical velocity, vi = 0
Δy = 0 + 0.5*(-9.8)*(2)^2 = -19.6 m (negative value indicates the displacement was in the downward direction)
Taking the magnitude of this value, we get 19.6 m, which is the vertical component of the skier's displacement during the jump. Therefore, the correct answer is B.

A Skier Leaves a Ski Jump with a Horizontal Velocity