A 1200 kg car reaches the top of a 100 m high hill at A with a speed vA. What is the value of vA that will allow the car to coast in neutral so as to just reach the top of the 150 m high hill at B with vB = 0? Neglect friction.

the value of vA that will allow the car to coast in neutral so as to just reach the top of the 150 m high hill at B with vB = 0 is 31.3 m/s

Explanation:

given information

car's mass, m = 1200 kg

= 100 m

=

= 150 m

= 0

according to conservative energy

the distance from point A to B, h = 150 m - 100 m = 50 m

the initial speed

final speed   = 0

thus,

² = ² - 2 g h

0 = ² - 2 g h

² = 2 g h

= √2 g h

    = √2 (9.8) (50)

    = 31.3 m/s

0.863333

86%

hope this