A ball is projected horizontally from the top of a building. one second later, another ball is projected horizontally from the same point with the same velocity.
At what point inmotion will the balls be closest to each other?
will the first ball always be traveling faster that the second?
What will be the time difference between them when the ball hits the ground?
Can the horizontal projection velocity of the second ball be changed so that the balls arrive at the ground at the same time?
2007-06-05 04:36:33 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Physics
1. Before the first ball is projected. Or if that is not a permissible time, then at the exact moment that the second ball is being projected. (The reason for this will be clear after you read the answers to your other questions.)
2. Yes, the first ball will always be traveling faster than the second (until they have both hit the ground). Their HORIZONTAL velocities will be identical, but their VERTICAL velocities will be different because the first ball has been accelerated for one second more than the second ball.
ALTERNATIVE INTERPRETATION: If the balls fall for long enough that they reach terminal velocity (i.e., the force of wind resistance balances the force of gravity and they stop accelerating), then their velocities will be identical. This takes between 10 and 20 seconds and a drop of a half mile or so.
3. One second. The two balls will follow the same path, and the second ball will pass each point on the path exactly one second after the first ball passed it. This also applies to the time and place where the balls hit the ground.
4. No. The horizontal velocity affects how far the balls travel horizontally, but it has no effect on their vertical velocity or how long it takes them to reach the ground. In order for them to reach the ground simultaneously, we would have to alter the initial VERTICAL velocity of one or both of the balls.
2007-06-05 04:40:37 · answer #1 · answered by actuator 5 · 3⤊ 0⤋
1. When the 2'nd ball is launched.
2. Yes, it will until it hits the ground.
3. One second.
4. No, the vertical component of acceleration is the only thing which determines the time it takes to get to the ground.
Doug
2007-06-05 04:46:03 · answer #2 · answered by doug_donaghue 7 · 2⤊ 0⤋
(i) When the balls are first launched. The distance only grows.
(ii) yes
(iii) the time difference will be the difference between launch times
(iv) no, horizontal velocity is independant of vertical motion which determines when the balls hit.
2007-06-05 04:42:24 · answer #3 · answered by Anonymous · 1⤊ 1⤋
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2016-11-05 00:14:48 · answer #4 · answered by ? 4 · 0⤊ 0⤋