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Ball A is dropped from the top of a building of height h at the same instant that ball B is thrown vertically upward from the ground. When the balls collide, they are moving n opposite directions, and the speed of A is twice the speed of B. At what height does the collision occur?

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SadhaLv10
23 Dec 2020
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Ball A is dropped from the top of a building of height H at thesame instant ball B is thrown vertically upward from the ground.First consider the situation where the balls are moving in oppositedirections when the collide. If the speed of ball A is m times thespeed of ball B when they collide, find the height at which theycollide in terms of H and m. Take x = 0 at the ground, positiveupward.

1.1 With two equations, describe the conditions at the collision(position and velocities of the balls).

1.2 Write the expressions for position and velocity of the balls asa function of time.

1.3 Solve the above equations to find the height at which the ballscollide. Your answer should be expressed as a fraction of theheight of the building H and it should depend on the speed ratiom.

1.4 Now suppose that m can be negative (i.e. balls A and B aremoving in the same direction when they collide). Use the formuladerived above to graph the height of the collision (again expressedas a fraction of the building height H) as a function of m for -5< m < 5. Are there values of m for which the answer isunphysical?

2.82 - A ball is thrown straight up from the ground with speed Up At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance. (a) Find the time at which the two balls collide. (b) Find the value of H in terms of U, and g such that at the instant when the balls collide, the first ball is at the highest point of its motion.

A ball is thrown upward from the ground with an initial speed of 15 m/s; at the same instant another ball is dropped from a building 10 m high. After how long will the balls be at the same height?

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