document.write( "Question 982883: The position of a projectile P shot directly upwards from the surface of the earth is a=117t-9.8t^2
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document.write( " What is the initial velocity of the projectile?
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document.write( " Find the average velocity over the interval from t=5 to t=10 seconds?
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document.write( " Find the instantaneous velocity at t=5 and t=10 secs?
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document.write( " Find the maximum height reach by the projectile?
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Algebra.Com's Answer #603679 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The position of a projectile P shot directly upwards from the surface of the earth is a=117t-9.8t^2 \n" ); document.write( "What is the initial velocity of the projectile? \n" ); document.write( "Ans: 117 units/sec \n" ); document.write( "---------------------------- \n" ); document.write( "Find the average velocity over the interval from t=5 to t=10 seconds? \n" ); document.write( "Ans: ave vel = [f(10)-f(5)]/[10-5] = [1170-980 -(585-245)]/[5] = -30 units/sec \n" ); document.write( "-------------------------------------- \n" ); document.write( "Find the instantaneous velocity at t=5 and t=10 secs? \n" ); document.write( "a'(x) = 117-19.6t \n" ); document.write( "a'(5) = 117-19.6*5 = 19 units/sec \n" ); document.write( "a'(10) = 117 - 196 = -79 units/sec \n" ); document.write( "-------------------- \n" ); document.write( "Find the maximum height reach by the projectile? \n" ); document.write( "Solve a'(t) = 0 \n" ); document.write( "117-19.6t = 0 \n" ); document.write( "t = 5.97 \n" ); document.write( "--- \n" ); document.write( "Ans:: a=117t-9.8t^2 \n" ); document.write( "a(5.97) = 349.21 units \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "Ans: f(5.97) = \n" ); document.write( " |