Please help me with correct math to the below question below for max points Supp

Question

Please help me with correct math to the below question below for max points

Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.30 km wide.
(a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.760 km lower than the starting point?
m/s2

(b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction.
m/s

Explanation / Answer

a) y = 0.5 g t^2 0.760e3 = 0.5 * 9.8 * t^2 t = 12.454 s x = 0.5 a t^2 1.30e3 = 0.5 * a * (12.454*12.454) a = 16.763 ? 16.8 m/s2 b) vx = a t = 16.763 * 12.454 = 208.77 m/s vy = g t = 9.8 * 12.454 = 122.05 m/s v = ?(208.77*208.77+122.05*122.05) = 242 m/s

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