3- A tiger jumps to catch a crane, if the tiger jumps at 30 degree angle respect to the ground at 25 m/s, what is the tiger’s highest point off the ground?
4- A motorbike is cruising at 20 m/s when suddenly the driver turns the engine up to full throttle. After traveling 5 km, the bike is moving with a speed of 60 m/s. What is the bike’s acceleration in m/s2 , assuming it is a constant acceleration?
5- An 6 hour trip is made at an average speed of 84 km/hr. If the driver drove at at 40 km/hr for the first 2.9 hours, what was the average speed (in km/hr) for the rest of the journey?
6- If you crash your car and it took you 2.5s to go from 60mph to stop, what is your acceleration in this case?
7- A ball is thrown upward, from a roof 90 m above the ground. The ball rises, then falls and strikes the ground some time later. The initial upward velocity of the ball is 53 m/s. Neglecting air resistance, after how many seconds will the ball strike the ground?
8- Joe drives due west at 35 km/hr for 70 minutes, then due north at 60 km/hr for 45 minutes then east at 55 km/hr for 4 ho
3)Given,
theta = 30 deg ; v = 25 m/s
The tiger will follow the path of a projectile and at highest point its velocity will be zero.
The tigers highest point will be given by:
v^2 = u^2 + 2 a H => H = v^2/2a = vy^2/2g
vy = 25 sin30 = 12.5 m/s
H = 12.5^2/2 x 9.81 = 7.97 m
Hence, H = 7.97 m (=8 m aprox)
2)Given,
u = 20 m/s ; v = 60 m/s ; s = 5 km = 5000 m
We know from eqn of motion
v^2 = u^2 + 2 a S
a = (v^2 - u^2)/2 s
a = (60^2 - 20^2)/2 x 5000 = 0.32 m/s^2
Hence, a = 0.32 m/s^2
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