15. +-12.35 points OSColPhys1 2.7.046. A swimmer bounces straight up from a divi

Question

15. +-12.35 points OSColPhys1 2.7.046. A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 3.00 m/s, and her takeoff point is 1.80 m above the pool. a) How long are her feet in the air? (b) What is her highest point above the board? (c) What is her velocity when her feet hit the water? m/s Additional Materials Reading 16. -12.35 points OSColPhys1 2.7.058. A soft tennis ball is dropped onto a hard floor from a height of 1.60 m and rebounds to a height of 1.16 m. (Assume that the positive direction is upward.) a) Calculate its velocity just before it strikes the floor. ) Calculate its velocity just after it leaves the floor on its way back up (c) Calculate its acceleration during contact with the floor if that contact lasts 3.50 ms. (d) How much did the ball compress during its collision with the floor, assuming the floor is absolutely rigid? m/s m/s m/s2 Additional Materials Reading

Explanation / Answer

a) h = u t + 1/2 a t2

-1.80 = 3 t - 1/2 * 9.8 t2

4.9 t2 -3 t - 1.80 = 0

t = 0.985 s

b) H = v2 / 2 g

= 32 / 2 * 9.8

highest point = 0.459 m

c) v = u + a t = 3 - (9.8 * 0.985)

velocity = - 6.65 m/s [negative means moving downward]

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