Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# A ball is shot from the top of a building with an initial velocity of $24 \mathrm{~m} / \mathrm{s}$ at an angle $\theta=42^{\circ}$ above the horizontal. What are the horizontal and vertical components of the initial velocity?

Solution

Verified
Step 1
1 of 3

Given:

A ball being shot with the following specifications:

• It is shot from the top of a certain building.
• It is shot with an initial velocity of $24\text{ m}/\text{s}$.
• The launching angle is $\theta=42\degree$.

Required:

• To determine the components of the initial velocity in the horizontal direction and the vertical direction.

Context:

The components of the initial velocity are given by:

$v_{x0}=v_0\cdot \cos(\theta)\tag 1$

$v_{y0}=v_0\cdot \sin(\theta)\tag 2$

Where:

• $v_{x0}$ is the horizontal component of the initial velocity vector.
• $v_{y0}$ is the vertical component of the initial velocity vector.
• $v_0=24\text{ m}/\text{s}$ is the initial speed of the ball.

We only need to use Eqs. (1) and (2) to determine what's being requested.

Note: Since all the information in this problem is provided using 2 significant figures, the final results will be presented using the said amount of significant figures; however, for intermediate calculations, we may use up to 3 decimal places depending on the case, even if it means using more than 2 significant figures for those intermediate instances.

## Recommended textbook solutions #### Physics for Scientists and Engineers

5th EditionISBN: 9780134378060Douglas C Giancoli
7,152 solutions #### Fundamentals of Physics

8th EditionISBN: 9780471758013 (2 more)Halliday, Resnick, Walker
9,479 solutions #### Fundamentals of Physics

10th EditionISBN: 9781118230718David Halliday, Jearl Walker, Robert Resnick
8,971 solutions #### Fundamentals of Physics, Extended

11th EditionISBN: 9781119306856David Halliday, Jearl Walker, Robert Resnick
9,587 solutions