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Chapter 2: Q.78 (page 63)

In the problem, you are given the kinematic equation that are used to solve a problem.

  1. Write a realistic problem for which this is the correct equation. Be sure that the answer your problem requests is consistent with the equation given.
  2. Draw the pictorial presentation for your problem.
  3. Finish the solution of the problem.

0m/s2=5m/s2-29.8m/s2sin100x1-0m

Short Answer

Expert verified

A golfer makes a putt up a ten-degree sloped green towards the hole. The golfer hits the ball hard enough to give it a 5m/s initial velocity. As it slows to a stop, the ball decelerates equally, dropping into the hole. Determine the length of the putt.

Step by step solution

01

Write the realistic problem representing the given equation:

A golfer makes a putt up a ten-degree sloped green towards the hole. The golfer hits the ball hard enough to give it a 5m/s initial velocity. As it slows to a stop, the ball decelerates equally, dropping into the hole. Determine the length of the putt.

02

Pictorial presentation of the given problem:

03

Determine the length of the putt:

From the given equation, solve for x1:

x1=252×9.8×sin100=7.3m

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Most popular questions from this chapter

A motorist is driving at 20 m/s when she sees that a traffic light 200 m ahead has just turned red. She knows that this light stays red for 15 s, and she wants to reach the light just as it turns green again. It takes her 1.0 s to step on the brakes and begin slowing. What is her speed as she reaches the light at the instant it turns green?

Two cars are driving at the same constant speed on a

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When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation
vx2=2Pmt
where P = 3.6 * 104 watts is the car’s power output, m = 1200 kg is its mass andvx is in m/s. That is, the square of the car’s velocity increases linearly with time.
a. Find an algebraic expression in terms of P, m, and t for the car’s acceleration at time t.
b. What is the car’s speed at t = 2 s and t = 10 s?
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Careful measurements have been made of Olympic sprinters in the 100 meter dash. A simple but reasonably accurate model is that a sprinter accelerates at 3.6 m/s2 for 313s, then runs at constant velocity to the finish line.

a. What is the race time for a sprinter who follows this model?

b. A sprinter could run a faster race by accelerating faster at the beginning, thus reaching top speed sooner. If a sprinter’s top speed is the same as in part a, what acceleration would he need to run the 100 meter dash in 9.9 s?

c. By what percent did the sprinter need to increase his acceleration in order to decrease his time by 1%?
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