Chapter 3, Problem 37AP

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A father demonstrates projectile motion to his children by placing a pea on his fork’s handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 8.25 m/s at an angle of 75.0° above the table. With what speed does the pea strike the ceiling 2.00 in above the table?

To determine
The speed with which the pea strikes the ceiling.

Explanation

The horizontal component of the velocity is,

vx=v0cosÎ¸

Here,

v0 is the initial velocity

Î¸ is the angle of projection

Substitute 8.25â€‰m/s for v0 and 75.0Â° for Î¸ .

vx=(8.25â€‰m/s)cos75.0Â°=2.14â€‰m/s

In the vertical direction,

vy2=v0y2âˆ’2gÎ”y=v02sin2Î¸âˆ’2gÎ”y

Here,

vy is the vertical velocity

v0y is the vertical component of the initial velocity

g is the acceleration due to gravity

Î”y is the vertical displacement

Î¸ is the angle of projection

Substitute 8.25â€‰m/s for v0 , 75.0Â° for Î¸ , 9.80â€‰m/s2 for g and 2â€‰m for Î”y

vy2=(8

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started