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The position of the ball at any given time can be found using the equation of motion: s(t) = ut + 0.5at 2 + s0

The position of the ball at any given time can be found using the equation of motion: s(t) = ut + 0.5at2 + s0 where: s(t) is the position of the ball at time t, u is the initial velocity, a is the acceleration, t is the time, and s0 is the initial position. Given: u = 64 ft/s, a = -32 ft/s(since the acceleration due to gravity is downwards), 
s0 = 128 ft. Substituting these values into the equation, we get: s(t) = 64t - 0.5*32t2 + 128 s(t) = 64t - 16t2 + 128 This equation gives the position of the ball above the river at any time t.  Find the time when the ball reaches its highest point above the river. what is the maximum height?

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