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BIO The Champion Jumper of the Insect World. The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0° above the horizontal, some of the tiny critters have reached a maximum height of 58.7 cm above the level ground. (See Nature, Vol. 424, July 31, 2003, p. 509.) (a) What was the takeoff speed for such a leap? (b) What horizontal distance did the froghopper cover for this world-record leap?
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Chapter 3 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
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Physics for Scientists and Engineers with Modern Physics
Conceptual Physical Science (6th Edition)
College Physics: A Strategic Approach (4th Edition)
Life in the Universe (4th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
- Arlal B 2 3 4 5 1. An archer fires an arrow horizontally from her shoulder, 1.5 meters from the ground. It misses his target and buries itself in the ground 40 meters away. Frustrated that they are out about $6 to replace it, the archer figures he might as well calculate the launch velocity of the arrow to take his mind off it. How fast was the arrow going at the moment of launch? A daredevil launches off a ramp trying to jump 10 flaming school buses. They launch with an initial horizontal velocity of 30 m/s. They also have a vertical velocity of 10 meters per second. Will they make the jump if ramp to ramp is 50 meters? 2. It might help to Sketch the diagram of the jump. MacBook Pro 000 DII 吕0 F6 F7 F8 F9 F3 F4 F5 23 %24 & 4 7 8. III COarrow_forwardA person on the top of a roof of a building (100 m) drops a ball. After 2s passed, a person who stands at the base of the same building throws a separate ball in the upward direction with a speed of 20 m/s. Assumes the two balls are traveling on the same vertical path. Will the two balls collide with each other? If so, what are their velocities as they collide with each other?arrow_forwardFrogs, with their long, strong legs, are excellent jumpers. And thanks to the good folks of Calaveras County, California, who have a jumping frog contest every year in honor of a Mark Twain story, we have very good data as to just how far a determined frog can jump. The current record holder is Rosie the Ribeter, a bullfrog that made a leap of 2.2 m from a standing start. This compares favorably with the world record for a human, which is a mere 3.7 m. Typical data for a serious leap by a bullfrog look like this: The frog goes into a crouch, then rapidly extends its legs by 15 cm as it pushes off, leaving the ground at an angle of 30° to the horizontal. It’s in the air for 0.49 s before landing at the same height from which it took off. Given this leap, what is the acceleration while the frog is pushing off? How far does the frog jump?arrow_forward
- QUESTION 4 Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places. Do not forget the negative sign (-) if needed. Dominador, who is standing on the edge of an 80-m tall cliff facing the sea, kicks a ball horizontally at a speed of 13.01 m/s. How far from the base of the cliff will the ball hit the sea water? Let y=0 be the initial vertical position of the ball, with positive position in the upward direction. The vertical displacement of the ball from the edge of the cliff to the seawater is: Ay = meters. The time it takes for the ball to reach the seawater is: t = seconds. The horizontal distance traveled by the ball is: Ax = meters.arrow_forward(b) y-coordinate Need Help? Read It Watch It Submit Answer 2. DETAILS SERCP11 3.2.P.009. MY NOTES ASK YOUR TEACHER The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45°. With what speed must the animal leave the ground to reach that height? m/s Need Help? Read It Watch It PRACTICE AOTHER MY NOTES ASK YOUR TEACHER 3. DETAILS SERCP11 3.2.P.014. From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 8.90 m/s and angle of 22.0° below the horizontal. It strikes the gyound 6.00 s (a) If the base of the building is taken to be the origin of the coordinates, with upward-the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo: Assume SI units. Do not substitute numerical values; use variables only.) later. 10:03arrow_forwardIn the vertical jump, an Kobe Bryant starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 ss in the air (their "hang time"). Treat Kobe as a particle and let ymaxymax be his maximum height above the floor. Note: this isn't the entire story since Kobe can twist and curl up in the air, but then we can no longer treat him as a particle. Hint: Find v0 to reach y_max in terms of g and y_max and recall the velocity at y_max is zero. Then find v1 to reach y_max/2 with the same kinematic equation. The time to reach y_max is obtained from v0=g (t), and the time to reach y_max/2 is given by v1-v0= -g(t1). Now, t1 is the time to reach y_max/2, and the quantity t-t1 is the time to go from y_max/2 to y_max. You want the ratio of (t-t1)/t1 To explain why he seems to hang in the air, calculate the ratio of the time he is above ymax/2ymax/2 moving up to the time it takes him to go from the floor to that height. You may ignore…arrow_forward
- An object is thrown vertically upwards with an initial velocity of 3 m/s from a ladder which is 5 m above ground level. Taking g to be 10 m/s/s, (a) express the height, h, of the object above the ground as a function of time, t; and (b) use the expression in (a) to find the time the object hits the ground and the velocity with which it strikes the ground. a. h = -5 + 3t - 5t^2; t = 1.34 s; v = -10.4 m/s b. h = 5 + 3t - 5t^2; t = 1.34 s; v = 10.4 m/s c. h = -5 + 3t - 5t^2; t = 1.34 s; v = 10.4 m/s d. h = 5 + 3t - 5t^2; t = 1.34 s; v = -10.4 m/sarrow_forwardAn Olympic long jumper leaves the ground at an angle of 31 degrees above the horizontal and travels through the air for a distance of 5.2 m before landing. What was the jumper's take-off speed?arrow_forwardA golf ball is hit horizontally off the edge of a 29 m high cliff and lands a distance of 21 m from the edge of the cliff. What was the initial vertical velocity of the golf ball, in m/s? Answer: m/sarrow_forward
- نقطتان )2( Q2-a Q2: A long jumper (above Fig.) leaves the ground at an angle of 20° to the horizontal and at a speed of 11 m/s. (a) How long does it take for him to reach maximum height? tmax= (b) What is the maximum height? ymax= (c) How far does he jump? R= (d) Use Equation v = vy – 2gAy to find the maximum height he reaches. ymax إجابتكarrow_forwardanswer the following questionarrow_forwardMore people end up in U.S. emergency rooms because of fall-related injuries than from any other cause. At what speed ? would someone hit the ground who accidentally steps off the top rung of a 6.00 ft tall stepladder? (That step is usually embossed with the phrase "Warning! Do not stand on this step.") Ignore the effects of air resistance. Let the +? direction point vertically upward and the origin be on the ground.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning