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A major leaguer hits a baseball so that it leaves the bat

ISBN: 9780321675460 31

Solution for problem 17E Chapter 3

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 17E

A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of 36.9o above the horizontal. Ignore air resistance. (a) At what two times is the baseball at a height of 10.0 m above the point at which it left the bat? (b) Calculate the horizontal and vertical components of the baseball’s velocity at each of the two times calculated in part (a). (c) What are the magnitude and direction of the baseball’s velocity when it returns to the level at which it left the bat?

Step-by-Step Solution:
Step 1 of 3

Solution 17E (a) onsider the motion of equation 2 s = ut + 1/2 at Here u is vertical component of velocity,t is elapsed time,a is acceleration in vertical direction, s is vertical displacement of ball above the point where it left the base ball. Substitute -g for acceleration and u =0v sin s = v sin t 1/2 g t 0 0 2 10 m = (30 m/s)sin (36.9 ) t 1/2 (9.8 m/s ) t (4.90 m/s)t (18 m/s) t + 10 m = 0 Apply quadratic formula t = 1/9.8 18 ± ( 18) 4(4.90)(10.0) s [ ] t = (1.837 ± 1.154)s Hence the ball at 10 m above the point where it left the bat at t = 0.683 sand 1 2 = 2.99 s. 0 (b).Horizontal component= cos(36.9 ) × 30 m/s = 23.99 m/s. 0 Vertical component= sin(36.9 ) × 30 m/s = 18.01 m/s. 2 2 (c).magnitude of baseball (23.99) + (18.01) = 29.9987 m/s .

Step 2 of 3

Step 3 of 3

ISBN: 9780321675460

This full solution covers the following key subjects: Baseball, bat, times, velocity, left. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 17E from chapter: 3 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 17E from 3 chapter was answered, more than 1332 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of 36.9o above the horizontal. Ignore air resistance. (a) At what two times is the baseball at a height of 10.0 m above the point at which it left the bat? (b) Calculate the horizontal and vertical components of the baseball’s velocity at each of the two times calculated in part (a). (c) What are the magnitude and direction of the baseball’s velocity when it returns to the level at which it left the bat?” is broken down into a number of easy to follow steps, and 97 words.

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