Chapter 2, Problem 35P

### 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

# Speedy Sue, driving at 30.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 155 m ahead traveling at 5.00 m/s. Sue applies her brakes but can accelerate only at −2.00 m/s2 because the road is wet. Will there be a collision? State how you decide. If yes, determine how far into the tunnel and at what time the collision occurs. If no, determine the distance of closest approach between Sue’s car and the van.

To determine
If the collision occurs or not.

Explanation

Given Info:

The initial velocity of Sueâ€™s car is 30.0â€‰m/s

The acceleration of Sueâ€™s car is âˆ’2.00â€‰m/s2

The initial velocity of van is 5.00â€‰m/s

The acceleration of van is 0

The initial position of the van is 155â€‰m

The formula used to calculate the final position ofÂ  Sueâ€™s car is,

xS=v0St+12aSt2

• xS is the final position of Sueâ€™s car
• v0 is the initial velocity of Sueâ€™s car
• a is the acceleration of Sueâ€™s car
• t is the time

Substitute 30.0â€‰m/s for v0S and âˆ’2.00â€‰m/s2 for a to find xS . xS=(30.0â€‰m/s)t+12(âˆ’2.00â€‰m/s2)t2â€‰â€‰â€‰â€‰â€‰=(30.0â€‰m/s)t+(âˆ’1.00â€‰m/s)t+12(0)t2â€‰â€‰â€‰â€‰=(30.0â€‰m/s)t+(âˆ’1.00â€‰m/s)t2 I

The formula used to calculate the final position of the van is,

xv=x0v+v0vt+12avt2

• xv is the final position of van
• v0v is the initial velocity ofÂ  the van
• a is the acceleration of the van
• x0v is the initial position of the van
• t is the time

Substitute 5

To determine
The distance at which collision occurs.

### 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