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Rebekah kicks a soccer ball off the ground and in the air with an initial velocity of 25 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the soccer ball reaches? A.) 9.5 feet B.) 9.8 feet C.) 10.2 feet D.) 10.7 feet
d/dt(-16t² + 25t) =-32t + 25 -32t + 25 = 0 32t = 25 t = 25/32 sec now put value of t H = -16(0.7813)² + 25(0.7813) = -16( 0.6104) + 25(0.7813) = = -9.767 + 19.533 = 9.766 = 9.8 feet
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