12. A heavy boulder falls from the top of a cliff for 2.5s. How fast is it trave

Question

12. A heavy boulder falls from the top of a cliff for 2.5s. How fast is it traveling when it impacts the ground if it is accelerating at a constant rate of 9.81 m/s'? 13. How tall is the cliff in problem 12? 14. The length of a straight tunnel through a mountain is 25.0 m. At the beginning of the tunnel a cyclist is traveling 5.00 m/s. How fast is he traveling when he emerges from the tunnel if he is accelerating at a constant rate of 0.20 m/s7 15. A bullet traveling 400 m/s slams into a block of clay, coming to rest after a constant rate of acceleration after penetrating 10 cm into the clay.Calculate the acceleration of the bullet.

Explanation / Answer

12)
t= 2.5 sec

v = u + at
v = 0 + 9.8*2.5
v = 24.5 m/s

13)

s = ut + 1/2at^2
s = 0 + (1/2)*9.8*(2.5)^2
s = 30.625 m

14)

V^2 = u^2 + 2as
V^2 = (5)^2 + 2*0.2*25

V^2 = 35
V = 5.916 m/s

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