a car drives over the top of a hill that has a radius of 30 m . part a what maximum speed can the car have without flying off the road at the top of the hill? express your answer to two significant figures and include the appropriate units.



Answer :

A car drives over the top of a hill that has a radius of 30 m. Maximum speed can the car have without flying off the road at the top of the hill is 17.14 m/s

The given parameters;

radius of the hill, r = 30 m

The centripetal force must be equal to or greater than the car's weight to determine the maximum speed of the vehicle on a hill.

F=mg

mv²/r = mg

v=√rg

v=√30*9.8

v=17.14 m/s

In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector and speed is a scalar quantity. No speed can be negative or zero. velocity can be zero or negative. What moves quickly is referred to as speed. With a direction comes velocity.

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