Phy 201
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A ball is tossed upward with an initial velocity of 25 meters / second. Assume that the acceleration of gravity is 10 m/s^2 downward.
What will be the velocity of the ball after one second?
answer/question/discussion: ->->->->->->->->->->->-> : If the ball is moving upward at 25m/sec initially, the acceleration of gravity will slow it down by 10m/sec/sec. After one second, the ball would be at 15m/sec
What will be its velocity at the end of two seconds?
answer/question/discussion: ->->->->->->->->->->->-> : Using the same logic as the previous question, the ball would be moving at 5m/sec
During the first two seconds, what therefore is its average velocity?
answer/question/discussion: ->->->->->->->->->->->-> : The average velocity during the first 2 seconds would be (5m/sec+25m/sec)/2 or 15m/sec
How far does it therefore rise in the first two seconds?
answer/question/discussion: ->->->->->->->->->->->-> : Using our average velocity(dt) we find that the distance traveled was 15m/sec(2sec) which would be 30 meters.
What will be its velocity at the end of a additional second, and at the end of one more additional second?
answer/question/discussion: ->->->->->->->->->->->-> : After an additional second, the velocity would be -5m/sec and be falling back downward. After another second, the ball would be falling at -15m/sec.
At what instant does the ball reach its maximum height, and how high has it risen by that instant?
answer/question/discussion: ->->->->->->->->->->->-> : The ball reached its maximum height at 2.5 seconds when its velocity=0m/sec. During that time it traveled (25m/sec+0/2)(2.5) or 31.25m.
What is its average velocity for the first four seconds, and how high is it at the end of the fourth second?
answer/question/discussion: ->->->->->->->->->->->-> : at 2.5 seconds, the ball was at 0. During the .5 second, the ball was falling at -5m/sec. then during the next second at -15m/sec and during the next .5 second it was falling at -25m/sec. Therefore after 4 seconds, the ball would have hit the ground again. The average velocity would be (vf-vo/2) this would be 12.5m/sec.
How high will it be at the end of the sixth second?
answer/question/discussion: ->->->->->->->->->->->-> : I dont think the ball would still be moving.
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15 mins
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Solution
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