   Chapter 13.1, Problem 36E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Speed trials The figure gives the time it takes a Mitsubishi Eclipse GSX to reach speeds from 0 mph to 100 mph, in increments of 10 mph, with a curve connecting them. The area under this curve from t = 0 seconds to t = 21.1 seconds represents the total amount of distance traveled over the 21.1 -second period. Count the squares under the curve to estimate this distance. This car will travel 1 /4 mile in 15.4 seconds, to a speed of 89.0 mph, so your estimate should be more than 1/4 mile. Is it? (Be careful with time units.) To determine

To calculate: The distance travelled by car in 15.4 seconds by counting the squares under the curve and then compare the result if the car travel 1/4 miles in 15.4 seconds to a speed of 89.0 mph. Explanation

Given Information:

The area under the curve from t=0 seconds to t=21.1 seconds represents the total amount of distance travelled over the 21.1 second period.

The provided graph is,

Calculation:

Consider the provided graph,

Since, the area under the graph represents the distance travelled.

Count the number of squares under the curve to evaluate the area.

Since, there are approximately 140 squares.

Recall that speed=distancetime.

Thus, distance=speed×time.

Since, speed increases in increments of 10 mph and time increases in increments of 1 second

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