Question

A projectile is fired from the top of a 120 m tall building with an initial velocity of Vi = 72.0 m/s and an initial angle theta i =25.0° above the horizontal. Answer the following questions. [Use g = 9.80 m/s^2]Question 9What is the x-component of the initial velocity?Round your answer to 3 significant figures.Question 10What is the y-component of the initial velocity?Round your answer to 3 significant figures.

Answer 1

Given data:

* The initial velocity of the projectile is,

`u=72ms^(-1)_{}`

* The initial velocity angle with the horizontal is,

`\theta=25^(\circ)`

Solution:

The x-component of the initial velocity is,

`u_x=u\cos (\theta)`

Substituting the known values,

`\begin{gathered} u_x=72*\cos (25^(\circ)) \\ u_x=65.25ms^(-1) \\ u_x\approx65.2ms^(-1) \end{gathered}`

Thus, the x-component of the initial velocity is 65.2 meter per second.