Explanation Given data: The distance between still acrobat and jumped acrobat is 9 m. The speed of the acrobat leaving trampoline is 8 m s . Formula used: Consider the expression for final velocity. ( v y ) f 2 − ( v y ) i 2 = 2 a y Δ y (1) Here, ( v y ) i is the initial velocity, Δ t is the change in time, and a y is the acceleration. Consider the expression for distance. Δ y = ( v y ) i Δ t + 1 2 a y ( Δ t ) 2 (2) Here, ( v y ) i is the initial velocity, Δ t is the change in time, and a y is the acceleration. Calculation: Draw the diagram as shown in Figure 1. Modify equation (1) in terms of free fall acceleration. ( v y ) f 2 − ( v y ) i 2 = − 2 g Δ y (3) Here, g is the acceleration due to gravity which has a standard value of 9.8 m s 2 . Substitute 0 m s for ( v y ) f , 9.8 m s 2 for g and 8 m s for ( v y ) i ,in equation (3), ( 0 m s ) 2 − ( 8 m s ) 2 = − 2 × 9.8 m s 2 × y trampoline and acrobat ( 8 m s ) 2 = 2 × 9.8 m s 2 × y trampoline and acrobat y trampoline and acrobat = 64 m 2 s 2 2 × 9.8 m s 2 y trampoline and acrobat = 3.26 m So, the maximum height of the jumping acrobat from the trampoline is 3.26 m. So the total distance covered by the ball to reach the trampoline is, y total = y trampoline and acrobat + y distance between acrobat Substitute 3.26 m for y trampoline and acrobat and 9 m for y distance between acrobat , y total = 3.26 m + 9 m = 12 .26 m Consider y total as Δ y and the ball is starting from rest. Modify equation (2) in terms of acceleration due to gravity, Δ y = ( v y ) i Δ t + 1 2 g ( Δ t ) 2 (4) Substitute 12.26 m for Δ y , 9.8 m s 2 for g and 0 m s for ( v y ) i , 12

Pearson eText for College Physics: A Strategic Approach -- Instant Access (Pearson+)

4th Edition

ISBN: 9780137561520

Author: Randall Knight, Brian Jones

Publisher: PEARSON+

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Question

Chapter 2, Problem 49P

To determine

The time period of the acrobat in air before he catches the ball.

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Chapter 2, Problem 48P

Chapter 2, Problem 50P

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Pearson eText for College Physics: A Strategic Approach -- Instant Access (Pearson+)

Ch. 2 - A person gets in an elevator on the ground floor...Ch. 2 - a. Give an example of a vertical motion with a...Ch. 2 - Figure Q2.3 shows growth rings in the trunk of a...Ch. 2 - Sketch a velocity-versus-time graph for a rock...Ch. 2 - You are driving down the road at a constant speed....Ch. 2 - Prob. 6CQ Ch. 2 - Prob. 7CQ Ch. 2 - A ball is thrown straight up into the air. At each...Ch. 2 - Prob. 9CQ Ch. 2 - Figure Q2.10 shows an object's...

Ch. 2 - Figure Q2.11 shows the position graph for an...Ch. 2 - Figure Q2.12 shows the position-versus-time graphs...Ch. 2 - Figure Q2.13 shows a position-versus-time graph....Ch. 2 - Figure Q2.14 is the velocity-versus-time graph for...Ch. 2 - Figure Q2.15 shows the position graph of a car...Ch. 2 - Figure Q2.16 shows the position graph of a car...Ch. 2 - Figure Q2.17 shows an object's...Ch. 2 - The following options describe the motion of four...Ch. 2 - A car is traveling at Vx = 20 m/s. The driver...Ch. 2 - Velocity-versus-time graphs for three drag racers...Ch. 2 - Which of the three drag racers in Question 20 had...Ch. 2 - Chris is holding two softballs while standing on a...Ch. 2 - Suppose a plane accelerates from rest for 30 s,...Ch. 2 - Figure Q2.24 shows a motion diagram with the clock...Ch. 2 - Prob. 25MCQ Ch. 2 - Prob. 26MCQ Ch. 2 - Prob. 27MCQ Ch. 2 - Prob. 28MCQ Ch. 2 - Figure P2.1 shows a motion diagram of a car...Ch. 2 - For each motion diagram in Figure P2.2, determine...Ch. 2 - The position graph of Figure P2.3 shows a dog...Ch. 2 - A rural mail carrier is driving slowly, putting...Ch. 2 - For the velocity-versus-time graph of Figure P2.5:...Ch. 2 - Prob. 7P Ch. 2 - A bicyclist has the position-versus-time graph...Ch. 2 - In major league baseball, the pitcher's mound is...Ch. 2 - In college softball, the distance from the...Ch. 2 - Alan leaves Los Angeles at 8:00am to drive to San...Ch. 2 - Richard is driving home to visit his parents. 125...Ch. 2 - In a 5.00 km race, one runner runs at a steady...Ch. 2 - In an 8.00 km race, one runner runs at a steady...Ch. 2 - Prob. 15P Ch. 2 - While running a marathon, a long-distance runner...Ch. 2 - Prob. 17P Ch. 2 - Prob. 18P Ch. 2 - Prob. 19P Ch. 2 - Prob. 20P Ch. 2 - Prob. 21P Ch. 2 - Prob. 22P Ch. 2 - Prob. 23P Ch. 2 - Prob. 24P Ch. 2 - Prob. 25P Ch. 2 - Small frogs that are good jumpers are capable of...Ch. 2 - A Thomson's gazelle can reach a speed of 13 m/s in...Ch. 2 - When striking, the pike, a predatory fish, can...Ch. 2 - a. What constant acceleration, in SI units, must a...Ch. 2 - When jumping, a flea rapidly extends its legs,...Ch. 2 - Prob. 31P Ch. 2 - Light-rail passenger trains that provide...Ch. 2 - A cross-country skier is skiing along at a zippy...Ch. 2 - A small propeller airplane can comfortably achieve...Ch. 2 - Formula One racers speed up much more quickly than...Ch. 2 - Prob. 36P Ch. 2 - A driver has a reaction time of 0.50 s, and the...Ch. 2 - Chameleons catch insects with their tongues, which...Ch. 2 - You're driving down the highway late one night at...Ch. 2 - Prob. 40P Ch. 2 - A car is traveling at a steady 80 km/h in a 50...Ch. 2 - Prob. 42P Ch. 2 - A simple model for a person running the 100m dash...Ch. 2 - Here's an interesting challenge you can give to a...Ch. 2 - In the preceding problem we saw that a person's...Ch. 2 - A gannet is a seabird that fishes by diving from a...Ch. 2 - Prob. 48P Ch. 2 - Prob. 49P Ch. 2 - A student at the top of a building of height h...Ch. 2 - Excellent human jumpers can leap straight up to a...Ch. 2 - A football is kicked straight up into the air; it...Ch. 2 - In an action movie, the villain is rescued from...Ch. 2 - Spud Webb was, at 5 ft 8 in, one of the shortest...Ch. 2 - A rock climber stands on top of a 50-m-high cliff...Ch. 2 - Actual velocity data for a lion pursuing prey are...Ch. 2 - A truck driver has a shipment of apples to deliver...Ch. 2 - Prob. 58GP Ch. 2 - Prob. 60GP Ch. 2 - The takeoff speed for an Airbus A320 jetliner is...Ch. 2 - Does a real automobile have constant acceleration?...Ch. 2 - Prob. 63GP Ch. 2 - You are driving to the grocery store at 20 m/s....Ch. 2 - When you blink your eye, the upper lid goes from...Ch. 2 - A bush baby, an African primate, is capable of a...Ch. 2 - When jumping, a flea reaches a takeoff speed of...Ch. 2 - Certain insects can achieve seemingly impossible...Ch. 2 - A student standing on the ground throws a ball...Ch. 2 - A rock is tossed straight up with a speed of 20...Ch. 2 - Prob. 72GP Ch. 2 - A car starts from rest at a stop sign. It...Ch. 2 - Heather and Jerry are standing on a bridge 50 m...Ch. 2 - A Thomson's gazelle can run at very high speeds,...Ch. 2 - We've seen that a man's higher initial...Ch. 2 - A pole-vaulter is nearly motionless as he clears...Ch. 2 - A Porsche challenges a Honda to a 400 m race....Ch. 2 - The minimum stopping distance for a car traveling...Ch. 2 - A rocket is launched straight up with constant...Ch. 2 - Free Fall on Different Worlds Objects in free fall...Ch. 2 - Free Fall on Different Worlds Objects in free fall...Ch. 2 - Free Fall on Different Worlds Objects in free fall...

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