SOLUTION: A ball is thrown straight upward. The position function used to describe the ball’s height, s(t), in feet after t seconds is given as: s(t) = 1/2at2 + v0t + s0. After 2 se

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Question 1188824: A ball is thrown straight upward. The position function used to describe the ball’s height, s(t), in feet after t seconds is given as: s(t) = 1/2at2 + v0t + s0. After 2 seconds the height of the ball is 198 ft, after 5 seconds the height is 246 ft, and after 8 seconds the height is 6 ft. (a) find the values of a, v0 and s0. (b) Solve the system of linear equations involving a, v0 and s0 using matrices.


Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
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This problem is to be solved in four steps.


Step 1.  Substitute t= 2 into the formula and make first equation for "a", v0 and s0.


Step 2.  Substitute t= 5 into the formula and make second equation for "a", v0 and s0.


Step 3.  Substitute t= 8 into the formula and make third equation for "a", v0 and s0.


Step 4.  Use your calculator to solve the system of 3 equations in 3 unknowns.



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