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Fundamentals Of Physics
Found in: Page 39
Fundamentals Of Physics

Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

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Short Answer

Question: If a baseball pitcher throws a fastball at a horizontal speed of 160 Km/hr, how long does the ball take to reach home plate 18.4 m away?

The time taken by ball to reach home plate is 414 m/s .

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Given data

The speed of the ball is 160 km/h .

The distance of the plate is 18.4 m .

Understanding the speed of an object.

The speed of an object is defined as the rate of change of distance with time. It is a scalar quantity.

The expression for the speed is given as follows:

Distance= Speed×Time interval … (i)

Determination of time taken by ball to reach the plate. 

First, convert the speed of the ball from km/h tom/s .

The speed of the ball can be written as,

Speed = 160 km/h = 160×518 m/s = 44.44 m/s

From equation (i), the time taken by ball is calculated as follows:

role="math" localid="1650526041222" Time interval = Distance Speed =18.4m44.44 m/s = 0.414 s = 414 ms

Thus, the time taken by ball to reach home plate is 414ms .

Most popular questions for Physics Textbooks

Figure 2-45 shows a simple device for measuring your reaction time. It consists of a cardboard strip marked with a scale and two large dots. A friend holds the strip vertically, with thumb and forefinger at the dot on the right in Fig. 2-45. You then position your thumb and forefinger at the other dot (on the left in Fig. 2-45), being careful not to touch the strip. Your friend releases the strip, and you try to pinch it as soon as possible after you see it begin to fall. The mark at the place where you pinch the strip gives your reaction time. (a) How far from the lower dot should you place the 50.0 m s mark? How much higher should you place the marks for (b) 100, (c) 150 , (d) 200 , and (e) 250 ms ? (For example, should the 100 ms marker be 2 times as far from the dot as the 50ms marker? If so, give an answer of 2 times. Can you find any pattern in the answers?

Figure 2-45 shows a simple device for measuring your reaction time. It consists of a cardboard strip marked with a scale and two large dots. A friend holds the strip vertically, with thumb and forefinger at the dot on the right in Fig. 2-45. You then position your thumb and forefinger at the other dot (on the left in Fig. 2-45), being careful not to touch the strip. Your friend releases the strip, and you try to pinch it as soon as possible after you see it begin to fall. The mark at the place where you pinch the strip gives your reaction time. (a) How far from the lower dot should you place the 50.0 ms mark? How much higher should you place the marks for (b)100 , (c) 150 , (d) 200 , and (e) 250 ms ? (For example, should the marker be 2 times as far from the dot as the 50 ms marker? If so, give an answer of 2 times. Can you find any pattern in the answers?

The position of a particle moving along an x axis is given by x=12t2-2t3, where x in metres and t in sec. Determine (a) the position. (b) the velocity, and (c) the acceleration of the particle at t=3 s . (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle, and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving? (Other than t=0)? (i) Determine the average velocity of the particle between t=0 and t=3 s .

When the legal speed limit for New York thruway was increased from 55 mi/h to65 mi/h , how much time was saved by a motorist who drove the 700 km between the buffalo entrance and the New York city exit at the legal speed limit?

An electron moving along the x axis has a position given by x=16e-t, where t is in seconds. How far is the electron from the origin when it momentarily stops?
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