Acyclist reaches the bottom of a hill with a speed of 18 m/s. neglecting air resistance and other friction, to what maximum height can they coast up the hill without pedalling? a) 19 m b) 20 m c) 17 m d) 18 m

c) 17 m

Explanation:

From the conservation of energy.

Change in kinetic energy= change in potential energy

Now,

Now according to the situation.

Here, v is the velocity, m is the mass of an object, h is the height, g is the acceleration due to gravity.

Given that the speed of the bicycle is

And the acceleration due to gravity is

Substitute these values.

Which means it is equivalent to 17 m

Therefore, the maximum height is 17 m

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