Lexy throws a dart with an initial velocity of 25 m/s at an angle of 60° relative to the ground. what is the approximate vertical component of the initial velocity?
a. 0.5 m/s
b. 0.87 m/s
c. 12.5 m/s
d. 21.7 m/s

21.7 m/s

Explanation:

The vertical component of the initial velocity is given by:

where

v is the magnitude of the initial velocity

is the angle between the direction of the initial velocity and the horizontal

In this problem, we have v = 25 m/s and , therefore the vertical component of the initial velocity is

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.

d.7.5cm is your answer