Bowman Owen
01/25/2024 · Primary School
(a) A ball throw upward from the roof of a building which is 750 feet high will be at a height of \( h \) feet after \( t \) seconds as described by the function. \[ h=f(t)=-16 t^{2}+50 t+750 \] (i) What is the height of a ball after 5 seconds? (ii) What is the velocity of the ball after 5 seconds (iii) What is the acceleration of the ball at \( t=0 \) ? At \( =5 \) ? (b) Find a, b, c and d so that \( \left.\qquad \left.\left[\begin{array}{rr}1 & -2 \\ 2 & -3\end{array}\right] \right\rvert\, \begin{array}{ll}a & b \\ c & d\end{array}\right]=\left[\begin{array}{ll}1 & 0 \\ 3 & 2\end{array}\right] \)
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(a)
(i) The height of the ball after 5 seconds is 600 feet.
(ii) The velocity of the ball after 5 seconds is -110 feet per second.
(iii) The acceleration of the ball at \( t=0 \) and \( t=5 \) is -32 feet per second squared.
(b)
The values of \( a, b, c, \) and \( d \) are \( a = 3, b = 4, c = 1, \) and \( d = 2 \).
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