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Chapter 2: Problem 23

How far does your car, moving at \(70 \mathrm{mi} / \mathrm{h}(=112 \mathrm{~km} / \mathrm{h})\) travel forward during the \(1 \mathrm{~s}\) of time that you take to look at an accident on the side of the road?

Short Answer

Expert verified
During the 1 second that a driver takes to look at an accident on the side of the road, the car (moving at 70 mph) will travel approximately \(0.019444 \) miles forward.

Step by step solution

01

Understanding the problem

The important piece of information in this exercise is that the car is moving at a speed of 70 mph (or 112 km/h). We want to find out how far the car travels in 1 second. The unit of speed given (miles or kilometers per hour) is not compatible with the time given (in seconds), so we'll need to do a unit conversion.
02

Converting Units

Let's convert the speed from mph to miles per second. We know that 1 hour is equal to 3600 seconds. Therefore, we divide the speed by 3600 to get the speed in miles per second, \(70 \, mph \,/\, 3600 = 0.019444 \, miles/s\). Now the units of speed and time are compatible.
03

Calculating Distance

We know that distance = speed x time. So we multiply the speed in miles per second (0.019444 miles/s) by the time (1 second) to find out how far the car travels in that time. \(Distance = 0.019444 \, miles/s \times 1 \, s = 0.019444 \, miles\)

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Most popular questions from this chapter

The head of a rattlesnake can accelerate \(50 \mathrm{~m} / \mathrm{s}^{2}\) in striking a victim. If a car could do as well, how long would it take for it to reach a speed of \(100 \mathrm{~km} / \mathrm{h}\) from rest?

In 3 h 24 min, a balloon drifts \(8.7 \mathrm{~km}\) north, \(9.7 \mathrm{~km}\) east, and \(2.9 \mathrm{~km}\) in elevation from its release point on the ground. Find (a) the magnitude of its average velocity and \((b)\) the angle its average velocity makes with the horizontal.

The brakes on your automobile are capable of creating a deceleration of \(17 \mathrm{ft} / \mathrm{s}^{2} .\) If you are going \(85 \mathrm{mi} / \mathrm{h}\) and suddenly see a state trooper, what is the minimum time in which you can get your car under the \(55 \mathrm{mi} / \mathrm{h}\) speed limit?

Raindrops fall to the ground from a cloud \(1700 \mathrm{~m}\) above Earth's surface. If they were not slowed by air resistance, how fast would the drops be moving when they struck the ground? Would it be safe to walk outside during a rainstorm?

(a) With what speed must a ball be thrown vertically up in order to rise to a maximum height of \(53.7 \mathrm{~m} ?(b)\) For how long will it be in the air?
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