Concept explainers
A rock is thrown upward from the level ground in such a way that the maximum height of its flight is equal to its horizontal range R. (a) At what angle θ is the rock thrown? (b) In terms of the original range R, what is the range Rmax the rock can attain if it is launched at the same speed but at the optimal angle for maximum range? (c) Would your answer to part (a) be different if the rock is thrown with the same speed on a different planet? Explain.
Trending nowThis is a popular solution!
Chapter 3 Solutions
WebAssign Printed Access Card for Serway/Vuille's College Physics, 11th Edition, Multi-Term
Additional Science Textbook Solutions
University Physics Volume 3
Conceptual Physical Science (6th Edition)
The Cosmic Perspective (9th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Fundamentals Of Physics - Volume 1 Only
- Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .arrow_forwardIn the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at 160 km/hr and dropped the bales from a height of 80 m above the flat range, (a) She wanted the bales of hay to land 30 m behind the cattle so as to not hit them. Where should she push the bales out of the airplane? (b) To not hit the cattle, what is the largest time error she could make while pushing the bales out of the airplane? Ignore air resistance.arrow_forwardA rock is thrown upward from the level ground in such a way that the maximum height of its flight is equal to its horizontal range R. (a) At what angle ? is the rock thrown? °(b) In terms of its original range R, what is the range Rmax the rock can attain if it is launched at the same speed but at the optimal angle for maximum range?Rmax = (c) Would your answer to part (a) be different if the rock is thrown with the same speed on a different planet? YesNoarrow_forward
- A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?arrow_forwardAn object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal. (with solutions each)a) What is the maximum height reached by the object?b) What is the total flight time (between launch and touching the ground) of the object?c) What is the horizontal range (maximum x above ground) of the object? d.) What is the magnitude of the velocity of the object just before it hits the ground?arrow_forwardA rock is thrown upward from the level ground insuch a way that the maximum height of its flight is equal toits horizontal range R. (a) At what angle θ is the rock thrown?(b) In terms of the original range R, what is the range Rmax therock can attain if it is launched at the same speed but at theoptimal angle for maximum range? (c) Would your answer topart (a) be different if the rock is thrown with the same speedon a different planet? Explain.arrow_forward
- For all questions, assume concepts such as friction or air resistance are negligible, unless stated otherwise in the question. A ball is launched from ground level at an angle of 60˚ and with a speed of 15 m/s. a)What is the maximum height the ball will reach? b)How far horizontally will the ball travel before returning to ground level?arrow_forwardAn object is launched at a velocity of 20 m/s in a direction making an angle of 25⁰ upward with horizontal. (A) what is the maximum height reached by the object? (B) what is the total flight time (between launch and touching the ground) of the object? (C) what is the horizontal range (maximum x above the ground) of the object? (D) what is the magnitude of the velocity of the object just before it hits the ground?arrow_forwardAn object is launched at a velocity of 20 m/s in a direction making an angle of 45° upward with the horizontal. a) What is the maximum height reached by the object? b) If the object has a time of flight of 2.9 s, what is the horizontal range of the object?arrow_forward
- An object is launched at a velocity of 20m/s in a direction making an angle of 25° upward with the horizontal. a) What is the maximum height reached by the object? b) What is the total flight time ( between launch and touching the ground) of the object? C) What is the horizontal range (maximum x above ground) of the object? d) What is the magnitude of the velocity of the object just before it hits the ground?arrow_forwardAcertain airplane has a speed of 297.6 km/h and is diving at an angle of 0 = 33.0° below the horizontal when the pilot releases a radar decoy (see the figure). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 651 m. (a) How long is the decoy in the air? (b) How high was the release point?arrow_forwardA long jumper leaves the ground with an initial velocity of 16 m/s at an angle of 45° from the horizontal. a) How long was the jumper in the air? b) What is the range of his jump?arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning