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?
Recall the famous experiment of Galileo Galilei on top of the leaning tower of Pisa? If he accidentally dropped one stone 1.0 s ahead of the other, with what initial velocity (in m/s) must the second stone would have to be thrown if the two stones would hit the ground at the same time? Note: The tower is 54 m high.
A juggler throws a bowling pin straight up with an initial speed of 8.3m/s from an initial height of 2.4 m. How much time elapses until the bowling pin returns to the same initial height?
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