Find each unknown number:n - 23 34

MTH 132 - Lecture 12 - Position Functions Summary ● s(t) - position function ● v(t) - s’(t) ● a(t) - v’(t) - s’’(t) ● If velocity and acceleration are the same - speed up. ● If velocity and acceleration are different - slow down. Example ● A ball is thrown upward from the top of a 350 foot building, with the ball's initial velocity 10 foot/second. ● How high can the ball get ○ s(t) = 350 + 10t -16t^2 ○ T1 = highest point = s’(t) = 10 - 32t = 0 ○ T11 = 10/32 = 5/16. ○ 350+10(5/16)-16(5/16)^2 ○ 350 +25/16 = highest point. ● When does the ball hit the ground ○ Let s(t) = 0. ○ 350 + 10t - 16t^2 = 175 +5t - 8t^2 √ ○ T = (-5 +