Question

A projectile is fired from the origin (at y = 0 m) as shown in the diagram. The initial velocity components are and The projectile reaches maximum height at point P, then it falls and strikes the ground at point Q, which is 20 m below the launch point. What is the vertical component of the velocity (Vy) of the projectile at point P?

+160 m/s

+80 m/s

zero

Answer 1

Answer:

Zero

Explanation:

Projectile Motion

An object being thrown with certain initial speed and angle respect to the horizontal describes a curve in the air that reaches a maximum height and then returns back to ground level or below if allowed to.

There are two components of the velocity, the horizontal component does not change during the flight because there is no acceleration in that direction, assuming no effect of the wind. The vertical component is affected by the gravity of the Earth, which points downwards, making the object return after the flight is completed.

The vertical component of the velocity is given by

$v_{y}=v_o.sin\theta-g.t$

We know the object reaches its maximum height when vy is zero. Thus, regardless of the conditions given in the question, the vertical component of the velocity vy of the projectile at point P is zero, because P is where it reaches its maximum height