For summertime fun, you decide to combine diving from a board with shooting a ba
ID: 1653478 • Letter: F
Question
For summertime fun, you decide to combine diving from a board with shooting a basketball through a hoop 4.50 m 1.00 m 3.75m Part A During several practice runs you stand at the end of a diving board and launch the basketball horizontally from a position 4.50 m above the water. If the average landing spot is 6.25 m horizontally from your initial position, what is the average launch speed? Express your answer to three significant figures and include appropriate units. 6.53 m Submit My. Answers Give Up Correct Significant Figures Feedback: Your answer 6.5 was eitunded differently or used a different number of significant figures than required for this part Part B Now you step off the diving board and launch the ball in order to make a basket in a hoop that is 3.75 m horizontally from your initial position and 1.00 m above the water as shown in the figure above. At what time after stepping off the board should you launch the bal?Explanation / Answer
(A) in vertical,
v0y = 0 and ay = - 9.8 m/s^2
y = -4.50 m
y = v0y t + ay t^2 / 2
- 4.50 = 0 - 9.80 t^2 /2
t = 0.958 sec
v0 =6.25 / 0.958 = 6.5 m/s
(B) t = 3.75 / 6.5 = 0.575 sec
(C) vx = 6.5 m/s
(d) y = v0y ( 0.575) - (9.8 x 0.575^2 / 2)
y = 0.575 v0y - 1.62
and v0y^2 - 0 = 2 (9.8)(4.50 - y )
4.50 - y =v0y^2 / 19.6
y = 4.50 - v0y^2 / 19.6
4.50 - v0y^2 / 19.6 = 0.575 v0y - 1.62
v0y^2 + 11.27 v0y - 120 = 0
v0y = 6.68 m/s ......Ans