The total distance travelled by the ball after the fourth impact is 275 feet.
<u>Explanation:</u>
Given-
Height, h = 100 feet
Rebounds half the distance
Distance in feet for the fourth time, x = ?
For the first time, the distance travelled by the ball is, x = 100 feet
For the second time, it will bounce up to 50 feet and fall upto 50 feet( half of 100 feet)
So, the distance travelled after the second impact, x = 100 + 50 + 50 = 200 feet
For the third time, it will bounce up to 25 feet and fall upto 25 feet( half of 50 feet)
So, the distance travelled after the third impact, x = 200 + 25 + 25 = 250 feet
For the fourth time, it will bounce up to 12.5 feet and fall upto 12.5 feet( half of 25 feet)
So, the distance travelled after the fourth impact, x = 250 + 12.5 + 12.5 = 275 feet
Therefore, total distance travelled by the ball after the fourth impact is 275 feet.
