2. 1.8↑, 1.8↓,
4. 1,46↑, 1.46↓,
5. 1.31↑, 1.31↓,
6. 1.18↑ , 1.18↓,
7. 1.07↑, 1.07↓,
(a) Σ =19.84 m.
(b) 0.96 m
the question is asking for the eighth time it hits the ground so wouldn't that include the other part of the .96, because what you have here is technically hitting the ground 7 times and the ball is in mid-air.... and for b) how did you set the problem up?
Angie's right. The ball needs to fall down after the 7th bounce, i.e. we stop counting after the 8th down arrow, to the sum 19.84, we need to add 0.96.
This is actually a summation of a geometric series of common ratio r=0.9, and initial value of 2.0.
The total (up and down) distance is twice the sum less 2 because the ball did not bounce for the first time.
The sum S(n) of the geometric series is
So for n=8,
So the total distance travelled is twice the sum less 2 (initial up motion)
For part (b), the height h of the ball after the nth bounce is ar^n, where a=initial height, r=rebound factor, and n=number of bounces.
For a=2, r=0.9, n=8,
Thank you for the clarification on A and for B the way the question is worded I think I'm going to go with the .96...
If it is a trick question, the height of the ball on the eighth bounce is zero!
Math HELP - When a Superball bounces it is claimed that the height of any bounce...
Math 2020 logic geo #2.. - thanks for the help with the first problem this is ...
math - the height that a ball bounces varies directly as the height from which ...
math - when a ball is dropped, it bounces back up 4/5 of the height from the ...
physics - A child bounces a 54 g superball on the side- walk. The velocity ...
physics - a child bounces a superball on the sidewalk. The velocity change of ...
Physics - A child bounces a 55 g superball on the side- walk. The velocity ...
Physics - A child bounces a 46 g superball on the side-walk. The velocity change...
Physics Momentum - A child bounces a 49 g superball on the side- walk. The ...
physics - A foam cube bounces to a height of 15cm when dropped from a height of ...