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

16th Edition

ISBN: 9781323515303

Author: Knight

Publisher: PEARSON C

See similar textbooks

Question

Chapter 2, Problem 49P

To determine

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

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 2, Problem 48P

Chapter 2, Problem 50P

Students have asked these similar questions

What is the error determined by the 2/3 rule?

Your colleague gives you a sample that are supposed to consist of Pt-Ni nanoparticles, TiO2 nanorod arrays, and SiO2 monolith plates (see right panel schematic). The bimetallic Pt-Ni nanoparticles are expected to decorate on the side surfaces of the aligned TiO2 nanorod arrays. These aligned TiO2 nanoarrays grew on the flat SiO2 monolith. Let's assume that the sizes of the Pt-Ni nanoparticles are > 10 nm. We further assume that you have access to a modern SEM that can produce a probe size as small as 1 nm with a current as high as 1 nA. You are not expected to damage/destroy the sample. Hint: keep your answers concise and to the point. TiO₂ Nanorods SiO, monolith a) What do you plan to do if your colleague wants to know if the Pt and Ni formed uniform alloy nanoparticles? (5 points) b) If your colleague wants to know the spatial distribution of the PtNi nanoparticles with respect to the TiO2 nanoarrays, how do you accomplish such a goal? (5 points) c) Based on the experimental results…

Find the current in 5.00 and 7.00 Ω resistors. Please explain all reasoning

Chapter 2 Solutions

COLLEGE PHY2053 W/MODIFIED ACCESS>BI<

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...

Knowledge Booster