Answer:
Step-by-step explanation:
Tiger is going at a final speed that can be found by
KE = 1/2 m v^2
KE = 1/2 * 5.45 kg * v^2
85.5 = 1/2*5.45 * v^2 Multiply both sides by 2
85.5 *2 = 5.45 v^2 Combine
171 = 5.45 v^2 Divide by 5.45
171 / 5.45 =5.45 v^2 / 5.45
31.38 = v^2
v^2 = 31.38 Take the square root of both sides.
√v^2 = √31.38
v = 5.60 m/s
V actually is vf. It is the final velocity reached by the cat just before he hits the ground.
Now we have to solve for d. Tiger was asleep. Presumably his starting speed was 0
vo = 0
vf = 5.60
a = 9.81
d = ?
Formula
vf^2 = vi^2 + 2*a * d
Solution
Substitute for the variables
5.60^2 = 0 + 2 * 9.81 * d
31.38 = 19.62 d Divide both sides by 19.62
31.38/19.62 = d * 19.62 / 19.62
d = 1.60 meters.