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# Answer to Question #107777 in Mechanics | Relativity for fatima

Question #107777
A cart travels along a frictionless roller coaster track. At point A, the cart is 10 m above the ground and traveling at 2 m/s.

a) What is the velocity at point B when the cart reaches the ground? (2 mark)

b) What is the velocity of the cart at point C when the cart reaches a height of 3 m? (2 mark)

c) What is the maximum height the cart can reach before the cart stops?
1
Expert's answer
2020-04-08T10:55:09-0400

a)

"v_b^2=v_a^2+2gH\\to v_b^2=2^2+2(9.8)(10)"

"v_b=14.1\\frac{m}{s}"

b)

"v_c^2=v_a^2+2g(H-h)\\to v_c^2=2^2+2(9.8)(10-3)"

"v_c=11.9\\frac{m}{s}"

c)

"2gH_m=v_a^2+2gH\\to 2^2=2(9.8)(H_m-10)"

"H_m=10.2\\ m"

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