So It Says That S(t)=-16t^2+1000 And Velocity At...

Anonymous

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So it says that s(t)=-16t^2+1000 and velocity at time t=a secondsgiven by lim as t approaches a s(a)-s(t)/a-t. so the question is if a construction worker drops a wrenchfrom a height of 1000 feet, when will the wrench hit the ground? Atwhat velocity will the wrench impact the ground? so how am i supposed to do this problem ?

 

Answer No.1

Anonymous

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Solve for one part of the question at a time. Let's start with"when will the wrench hit the ground, if dropped from a height of1000 ft." 1. Identify that you are given the position function s(t) =-16t2+1000. Next, identify that you want time when theposition equals 0 (hits the ground). Note that the positionfunction has +1000 already, meaning that you are starting from aposition of 1000 ft. So, set the position function equal to 0and solve for t. -16t2+1000 = 0 -16t2 = -1000 t2 = 62.5 t = 7.91 seconds

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