1) A cat of mass 1kg leaps to try to catch a bird. If the cat's jump was at an angle of 60 degrees with an initial velocity of 3 m/s, it's vertical displacement at the highest point of its trajectory is:
2) Suppose another cat of mass 2kg make the jump with the same initial velocity (3 m/s at an angle of 60 degrees with the horizontal). The total time this heavier cat is in the air is:
Please use a lot of details when explaining!
1) initial vertical velocity, u = 3 x Sin 60o = 2.6 m/s
at highest point vertical velocity, v = 0 m/s
acceleration = - 9.8 m/s2
using third equation
v2 - u2 = 2aS
S = v2 - u2 / 2a
substituting
S = 0 - 2.62 / 2 x -9.8 = 6.76 / 19.6 = 0.35 m
2) time of flight = 2 u Sin 60 / g = 2 x 2.6 /9.8 = 0.53 s
A cat leaps to catch a bird. If the cat's jump was at a 60 degree angle off the ground and its initial velocity was 3.34 m/s, what is the highest point of its trajectory?
A block of wood of mass m = 1kg is pushed with an initial velocity of 1m/s down a ramp that makes an angle of 30 degrees with the horizontal. The coefficient of kinetic friction is 0.6. How far along the ramp does it slide before coming to rest?
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