A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof 1.00 s later. Ignore air resistance, (a) If the height of the building is 20.0 m. what must the initial speed of the first ball be if both are to hit the ground at the same lime? On the same graph, sketch the positions of both balls as a function of time, measured from when the first ball is thrown. Consider the same situation, but now let the initial speed up of the first ball be given and treat the height h of the building as an unknown, (b) What must the height of the building be for both balls to reach the ground at the same time if (i) υ 0 is 6.0 m/s and (ii) υ 0 is 9.5 m/s? (c) If υ 0 is greater than some value υ max , no value of h exists that allows both balls to hit the ground at the same time. Solve for υ max . The value υ max has a simple physical interpretation. What is it? (d) If υ 0 is less than some value υ min , no value of h exists that allows both balls to hit the ground at the same time. Solve for υ min . The value υ min also has a simple physical interpretation. What is it?
A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof 1.00 s later. Ignore air resistance, (a) If the height of the building is 20.0 m. what must the initial speed of the first ball be if both are to hit the ground at the same lime? On the same graph, sketch the positions of both balls as a function of time, measured from when the first ball is thrown. Consider the same situation, but now let the initial speed up of the first ball be given and treat the height h of the building as an unknown, (b) What must the height of the building be for both balls to reach the ground at the same time if (i) υ 0 is 6.0 m/s and (ii) υ 0 is 9.5 m/s? (c) If υ 0 is greater than some value υ max , no value of h exists that allows both balls to hit the ground at the same time. Solve for υ max . The value υ max has a simple physical interpretation. What is it? (d) If υ 0 is less than some value υ min , no value of h exists that allows both balls to hit the ground at the same time. Solve for υ min . The value υ min also has a simple physical interpretation. What is it?
A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof 1.00 s later. Ignore air resistance, (a) If the height of the building is 20.0 m. what must the initial speed of the first ball be if both are to hit the ground at the same lime? On the same graph, sketch the positions of both balls as a function of time, measured from when the first ball is thrown. Consider the same situation, but now let the initial speed up of the first ball be given and treat the height h of the building as an unknown, (b) What must the height of the building be for both balls to reach the ground at the same time if (i) υ0 is 6.0 m/s and (ii) υ0 is 9.5 m/s? (c) If υ0 is greater than some value υmax, no value of h exists that allows both balls to hit the ground at the same time. Solve for υmax. The value υmax has a simple physical interpretation. What is it? (d) If υ0 is less than some value υmin, no value of h exists that allows both balls to hit the ground at the same time. Solve for υmin. The value υmin also has a simple physical interpretation. What is it?
A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.12 s later. You may ignore air resistance.
If the height of the building is 20.4 m, what must the initial speed be of the first ball if both are to hit the ground at the same time?
Consider the same situation, but now let the initial speed v0 of the first ball be given and treat the height h of the building as an unknown. What must the height of the building be for both balls to reach the ground at the same time for v0 = 8.50 m/s.
If v0 is greater than some value vmax, a value of h does not exist that allows both balls to hit the ground at the same time. Solve for vmax.
If v0 is less than some value vmin, a value of h does not exist that allows both balls to hit the ground at the same time. Solve for vmin.
A juggler throws a bowling pin straight up with an initial speed of 6.1 m/s from an initial height of 2.8 m. How much time elapses until the bowling pin returns to the same initial height?
Answer without rounding off
You throw a tennis ball straight up. Air resistance can be neglected. (a) The maximum height above your hand that the ball reaches is H. At what speed does the ball leave your hand? (b) What is the speed of the ball when it is a height H/2 above your hand? Express your answer as a fraction of the speed at which it left your hand. (c) At what height above your hand is the speed of the ball half as great as when it left your hand? Express your answer in terms of H.
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