## Question

###### 10. The time,t,in seconds varies directly with the square root of the distance, d, in feet...

10. The time,t,in seconds varies directly with the square root of the distance, d, in feet that a dropped ball has fallen. It takes 2 seconds for a ball to fall 64 feet. a. Find a formula to model this situation. b. How long would it take for the ball to fall 100 feet?

## Answers

1 Given that the time (t), in seconds ransies directly with the scquane noor the distance, d, in feer. So, we have, ta da of ie. 2 = Whene ka vaniational constant NOW kad t=2 seconds then it 6A feer. = K NGA 27 A so we have, ie. K- ie.no 8 ieke Now when so, we have, It=th no 100 feet te ha viou x 10 da then have, 2.5 seconds

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