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a student throws a baseball upwards at an angle of 60 degrees to the ho…

Question

a student throws a baseball upwards at an angle of 60 degrees to the horizontal. the initial horizontal and vertical components are 12.5 m/s and 21.7 m/s respectively.
refer to the above - information and diagram. what position will have the smallest magnitude of vertical velocity?
all positions have the same magnitude of velocity.

Explanation:

Step1: Analyze vertical - motion in projectile

In projectile motion, the vertical velocity $v_y$ changes due to gravity. At the highest - point of the projectile's trajectory, the vertical velocity is zero. As the object moves up, the vertical velocity decreases (due to the gravitational acceleration acting downwards), reaches zero at the peak, and then increases in magnitude (but in the opposite direction) as the object falls down.

Step2: Identify the position

The position where the vertical velocity has the smallest magnitude (which is zero) is the highest - point of the projectile's path. In the given diagram, position B is the highest - point of the ball's trajectory.

Answer:

B