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A young woman at a carnival steps up to the "high striker," a popular test of strength where the contestant hits one end of a lever with a mallet, propelling a small metal plug upward toward a bell. She gives the mallet a mighty swing and sends the plug to the top of the striker, where it rings the bell. FlGURE $2-42$ shows the corresponding position-versus-time plot for the plug. Using the information given in the plot, answer the following questions: (a) What is the average speed of the plug during its upward journey? (b) By how much does the speed of the plug decrease during its upward journey? (c) What is the initial speed of the plug? (Assume the plug is in free fall during its upward motion,with no effects of air resistance or friction.)

a) 6.67 $\mathrm{m} / \mathrm{s}$b) 5.88 $\mathrm{m} / \mathrm{s}$c) 9.60 $\mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 2

One-Dimensional Kinematics

Motion Along a Straight Line

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Okay, So in this problem, we have a figure. The represents movement of a glug in a high strike going fist on the graph. It's something like this. He is your 0.6 in time and here, ISS for meters in the in the position position. Okay, so the first I think of the problem, we want to discover the average its speed off the plug. We know that average speed is defined as the difference in position, divided by the difference in time. So we just take the entire position off the block, the displacement just for divided by the difference in time. 0.6. So this is equal to six points, 67 meters per second. Second item of the problem. We need to discover how much the speed of the blood decrease during its motion of point. Okay, so we know that the difference in speed can be calculated. The difference and speech can be calculated. Us g times t. So the difference in speech it's going to be 9.81 times 0.6. This is it close to difference in speed going to be five 0.885 point eight eight meters for a second. That's the answer to the second I. Turn of the problem deterred itin of the problem. We need to calculate the initial velocity off the plug and to calculate initial velocity of the plug. Just needs to use def creation. The the that describes the position of the book as a function off time. Because any order equation we have one more quantity that we don't know example. If we try to use VEHK, was the zero well us ut, we don't have the final velocity, so the order to re creations are not going to solve this problem. That's why we are using the position as a function of time. Okay, so let's calculate this. The position is just four meters. Initial velocity we want to discover the time is 0.6. So here we have a negative gravity's separation 9.81. Anyone divided by two times 0.6 square. So finally, the initial velocity off the plug is going to be 9.6 meters per second. That's the final answer. Thanks for watching

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