Bike Ramps Plans
I need help please answer = 92m?
A specialist at a bike travel plans at high speed and top of a ramp of 2 m high inclined at an angle of 45 ground.the the bike is capable of a maximum speed of 30m/s.calculate the distance from the ramp to the point of impact on the ground?
Set roots in the top of the ramp. Take horizontal axis x:. Taken as vertical axis and upward, as – in positive. direction and velocity u = initial 30 m / s sin (45 °) = 21.2 m / s Acceleration = -9.8 m =- g / s ^ 2 Y = -2 m Displacement Let t = time to take Y = t * u – 1 / 2 gt ^ 2 O 2 = 21.2 * T – 1 / 2 * 9.8 * t ^ 2 O 2 = 21.2 * t – 4.9 t ^ 2 or 4.9 * t ^ 2 to 21.2 t – 2 = 0 t can not be negative. Therefore t = [21.2 + sqrt (21.2 ^ 2 + 4 * 4.9 * 2)] / (2 * 4.9) or T = (21.2 + 22.1) / 9.8 t = O = 43.3/9.8 4.42 sec in x direction: – The speed vx = 30 m / s cos ( 45 °) = 21.2 m / s who take the time t = 4.42 s vx is constant because there is no force in x (horizontal) So. horizontal displacement vx = t * = 21.2 * 4.42 = 93.7 m Ans: 93.7 m
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