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Answer: 66 Meters. Just had that same problem on a math mates worksheet.
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How do geometric sequences apply to a bouncing ball?
The ball does not return to its initial height after bouncing. So the height it reaches after the first bounce will be a fraction of the initial height, etc. This is a geometric sequence with common ratio 5/8.
A pebble is dropped from the top of a 144-foot building. The height of the pebble h after t seconds is given by the equation h-16t2 plus 144h and minus16t2 plus 144 . How long after the pebble is drop?
A pebble is dropped from the top of a 144-foot building. The height of the pebble h after t seconds is given by the equation h=−16t2+144 . How long after the pebble is dropped will it hit the ground?Interpretationa) Which variable represents the height of the pebble, and in what units?b) Which variable represents the time in the air, and in what units?c) What equation relates the height of the object to its time in the air?d) What type of equation is this?e) What are you asked to determine?
Would 300 pounds fall faster than a 100 pounds?
assuming that they are dropped from the same height, no, gravity accelerates all objects equally regardless of mass
A graph titled Average plant height (cm) vs. Concentration of sodium phosphate (mgL) shows an upward-sloping line that reaches a maximum value and then stays there over the remainder of the graph. Wha?
Average plant height increases with an increase in the concentration of sodium phosphate until the plants reach a maximum possible height.
A ball is dropped from a height of 10m if it rebounds approximately half the distance after each fall use a geometric series to approximate the total distance the ball travels before coming to rest?
The answer is 30m. Lets assume that the ball is dropped from a height of h. The ball will come down and go up, so in the first bounce it covers h+h/2 distance. The second bounce, it is h/2+h/4, the third it will be h/4+h/8 and so on. The total distance covered would thus be h+h/2+h/2+h/4+h/4+h/8+h/8+........... = h+h+h/2+h/4+h/8+........... (summing up adjacent values in pairs) = 2h+h*(1/2+1/4+1/8+.............) = 3h (by the geometric series formula, 1/2+1/4+1/8+.....=1) Hence taking, h=10m in this case, the answer would be 10*3= 30m
A ball is dropped from height of 24m. With each bounce the ball reaches a height that is half its previous bounce. How far has the ball traveled by the time it comes to rest?
72 meter
If a ball is dropped from a height of 24 m and with each bounce the ball reaches a height that is half the height of the previous bounce how far has the ball traveled by the time it comes to rest?
72 meters
A ball is dropped from a height of 128 meters Each time the all bounces to half of its previous height After one bounce the ball readches a height of 64 meters How high did the ball reach after the 7?
After the 7th bounce, the ball will reach a height of 1 meter. This is because after each bounce, the ball reaches half of its previous height. So, after 1 bounce it reaches 64 meters, after 2 bounces it reaches 32 meters, after 3 bounces it reaches 16 meters, and so on, until it reaches 1 meter after the 7th bounce.
A ball dropped from a height of 10 meters and bounces up to a height of 7 meters Assuming that the height before each bounce remain in the same ratio after how many bounces will the ball be below 2?
After each bounce, the ball reaches a height that is 70% of the previous height. The height of the ball after each bounce can be calculated as 10m, 7m, 4.9m, 3.43m, 2.401m, and so on. The ball will be below 2 meters after the 4th bounce.
Is the height of a ball's bounce affected by the height from which the ball is dropped?
Yes, the height of a ball's bounce is affected by the height from which it is dropped. The higher the drop height, the higher the bounce height due to the conservation of mechanical energy. When the ball is dropped from a greater height, it gains more potential energy, which is converted to kinetic energy during the bounce resulting in a higher bounce height.
Is the height of a bounce affected by the height from which the ball is dropped (Variable)?
Yes, the height of a bounce is affected by the height from which the ball is dropped. The higher the ball is dropped from, the higher it will bounce back due to the transfer of potential energy to kinetic energy during the bounce.
Is the height of a ball bounce affected by the height from which the ball is dropped?
Yes - the greater the height an item dropped the resulting bounce is higher
Is the height of the ball's bounce affected by the height from which the ball is dropped?
Yes - the greater the height an item dropped the resulting bounce is higher
A ball is dropped from a height of 125m each time it hits the ground it bounces 35 of the height it fell how high will the ball bounce on the 3rd bounce?
On the third bounce, the ball will bounce to a height of 35% of the previous bounce height (35% of 35% of 125m). Therefore, the ball will bounce to a height of (35/100) x (35/100) x 125m = 15.63m on the third bounce.
Does the height effect the bounce of the ball?
Yes, the height at which a ball is dropped can affect its bounce. The higher the drop height, the higher the bounce due to an increase in potential energy during the fall. However, factors like the ball material, surface it bounces on, and air resistance also play a role in determining the bounce height.
Sharon drops a rubber ball from a height of 48 feet Every bounce sends the ball half as high as it was before?
After the first bounce, the ball reaches a height of 24 feet. After the second bounce, it reaches a height of 12 feet, and so on. The ball will bounce an infinite number of times, each time reaching half the height of the previous bounce, getting closer and closer to the ground but never actually reaching 0 feet in height.
Is a ball's bounce affected by the height from which it is dropped?
Yes, a ball's bounce is affected by the height from which it is dropped. The higher the drop height, the higher the ball will bounce due to the increase in potential energy transferred into kinetic energy during the bounce.
