- #1
Monkey618
- 7
- 0
Homework Statement
In reference to Galileo's Inclined Plane experiment.
2) What does it mean to say “The ball picked up the same amount of speed in each successive time interval.” Use symbols to write this sentence mathematically.
5) For the ball falling vertically, if we believe that its speed changes at a constant rate (constant velocity), what is true about the instantaneous speed at the beginning, middle, and end of any given time interval.
The attempt at a solution
2) In order to pick up the same amount of speed in each identically-successive time interval, the acceleration must be uniform/constant. So in each time interval, the ball will cover the same amount of distance. D=ST or D/T=S.
5) If the speed is increasing at a constant rate then in any given time interval: at the beginning, speed will be slowest; at the middle, speed will be greater; and at the end speed will be the greatest.
I can't seem to think these through properly and I know that Velocity is merely speed with a direction and that it can be negative while speed must be positive. A zero acceleration would mean that falling ball is not speeding up at all a negative acceleration would mean that it is slowing down. But my answers seem wrong (or at the very least incomplete).
In reference to Galileo's Inclined Plane experiment.
2) What does it mean to say “The ball picked up the same amount of speed in each successive time interval.” Use symbols to write this sentence mathematically.
5) For the ball falling vertically, if we believe that its speed changes at a constant rate (constant velocity), what is true about the instantaneous speed at the beginning, middle, and end of any given time interval.
The attempt at a solution
2) In order to pick up the same amount of speed in each identically-successive time interval, the acceleration must be uniform/constant. So in each time interval, the ball will cover the same amount of distance. D=ST or D/T=S.
5) If the speed is increasing at a constant rate then in any given time interval: at the beginning, speed will be slowest; at the middle, speed will be greater; and at the end speed will be the greatest.
I can't seem to think these through properly and I know that Velocity is merely speed with a direction and that it can be negative while speed must be positive. A zero acceleration would mean that falling ball is not speeding up at all a negative acceleration would mean that it is slowing down. But my answers seem wrong (or at the very least incomplete).