document.write( "Question 1127310: Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air resistance.)
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document.write( "A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 72 feet per second. How high will the ball go? \n" );
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Algebra.Com's Answer #743706 by addingup(3677)![]() ![]() You can put this solution on YOUR website! using a(t) = -32ft/s^2 \n" ); document.write( "a(t) = -32ft/s^2 --> v(t) = ∫-32dt --> v(t) = -32t + C \n" ); document.write( "v(0) = 72 --> v(0) = -32(0)+C = 72 so our velocity function is: \n" ); document.write( "v(t) = -32t+72 --> at the maximum height the velocity will be zero, so we can restate: \n" ); document.write( "0 = -32t+72 --> t = 2.25 \n" ); document.write( "Now, to find the maximum height \n" ); document.write( "s(t) = ∫v(t)dt = ∫(-32t+ 72)dt = \n" ); document.write( "sorry I've run out of time. Maybe the above will help you find the answer \n" ); document.write( " |