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# Just as a car tops a 31 meter high hill with a speed of 88 km/h it runs out of gas and coasts from there...?

without drag or friction. How high will the car coast up the next hill?

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- Anonymous1 decade agoFavorite Answer
88 km/hr = 88 * 1000 / 3600

= 24.444 m/s.

If its mass is m, its kinetic energy is:

(m/2)24.444^2 J.

That is sufficient to get it to a vertical height h where:

(m/2) 24.444^2 = m * 9.81 h

24.444^2 / 2 = 9.81 h

h = 24.444^2 / (2 * 9.81)

= 30.5 m.

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