A tennis ball rolls off of the roof of a building (8.1 m) with a speed of 4 m/s. It lands on a frictionless bench 7.6 m below and rolls along that for 2 s before rolling off and falling to
the ground. How long did the ball take to fall from the roof to the ground? What was the
range of the ball? What was the ball's final velocity when it hits the ground?

Step-by-step explanation:

divide up your information into two A ball rolls off a 1.0 m high table and lands on the floor, 3.0 m away from the A carpenter tosses a shingle off a 9.4 m high roof, giving it an initial horizontal A tiger leaps horizontally from a 12 m high rock with a speed of 4.5 m/s.

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3