The speed of the roller coaster at point 2 is 28 m/s, at point 3 is 16 m/s and at point 4 is 22 m/s.
Speed of the roller coaster
The speed of the roller coaster at any position is calculated by applying the principle of conservation of energy.
K.E = P.E
¹/₂mv² = mgh
v = √2gh
where;
- h is vertical displacement
Speed at point 2
v(2) = √[(2 x 9.8)(39 - 0)]
v(2) = 28 m/s
Speed at point 3
v(3) = √[(2 x 9.8)(39 - 26)]
v(3) = 16 m/s
Speed at point 4
v(4) = √[(2 x 9.8)(39 - 14)]
v(4) = 22 m/s
Thus, the speed of the roller coaster at point 2 is 28 m/s, at point 3 is 16 m/s and at point 4 is 22 m/s.
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