Question

A projectile is fired at an angle such that the vertical component of its velocity

Answer 1

Answer:

It takes 3 seconds to reach its high point

Explanation:

Projectile Motion

In a projectile motion (or 2D motion), the object is launched with an initial angle θ and an initial velocity vo.

The components of the velocity are

$v_{ox}=v_o\cos\theta$

$v_{oy}=v_o\sin\theta$

The speed in the horizontal direction at any time t is:

$v_y=v_o\sin\theta-g.t$

The time taken to reach the maximum height is when vy=0, or:

$\displaystyle t_m=\frac{v_o\sin\theta}{g}$

We are given the y-component of the velocity, thus:

$\displaystyle t_m=\frac{30~m/s}{10~m/s^2}$

$t_m=3~s$

It takes 3 seconds to reach its high point