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An object thrown vertically upward with a speed of 6 m/s from a height of h meters takes 10 seconds to reach the ground. set up and solve the initial-value problem that governs the motion of the object, and determine h. (use g = 9.8 m/s2 for the acceleration due to gravity.)

Answer :

430m. We use the displacement formula x=v*t+1/2*a*t^2. Set upward to be the positive direction, so v=6m/s, a=-g=-9.8m/s^2 (gravity is pulling the object down), and t=10s. The displacement is -h(it's negative because the ending point is the ground, which is negative relative to the starting point). -h=60-4.9*100, h=430 m. 

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