55 Cage Free
55 Cage Free
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3 more problems with physics please?
1. Billy, a mountain goat, is rock climbing on his favorite slope one sunny spring morning when a rock comes hurtling toward him from a ledge 40.0 m above. Billy ducks and avoids injury. a) How fast is the rock traveling when it passes Billy? b) How does this speed compare to that of a car travelig down the highway all the speed limit of 25 m/s (equivalent to 55 mi/h)?
2. How long is Tina, a ballerina, in the air when she leaps straight up with a speed of 1.8 m/s?
3. At six Flags great adventure amusement park in New Jersey, a popular ride known as "free fall" carries passengers up to a height of 33.5 m and drops them to the ground inside a small cage. How fast are the passegengers going at the bottom of this exhilarating journey?
1. Set the PE with the KE to find the speed
mgh = (1/2)mv^2
v = square root(2gh) = 28 m/s
2. You use the time dependent kinematics eq : vf - vo = at
t = (vf - vo)/g = 0.1845 s
3. Again this is similar to 1), set the PE with the KE to find the speed. The word "free fall" should be a big clue
v = square root(2gh) = 25.62 m/s