- #1
fifaking7
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Homework Statement
s(t)= Vit + 1/2 a t^2 + So
a) find the average velocity on the interval [1,3]
b) find the instantaneous velocity when t= 3s.
c) how long does it take the coin to hit the ground?
d) find the velocity when the coin hits the ground
Homework Equations
a= -32ft/(s^2)
The Attempt at a Solution
S(t)=Vi(0)t + 1/2 (-32ft/s^2)t^2 +So
S(t)= 0 -16t^2 + 800
v(t) = -32t
a) V(3)-V(1)/(3-1)
V(3) = -32(3)=-96
V(1) = -32(1)= -32
-96-(-32)/2 = -64ft/sec is my final answer
b) v(3)= -32(3)
C)coin hits ground at s(t)= 0 S(t)= -16t^2 + 800
0= =16t^2 +800
-800= -16t^2
sqr50= t^2
7.071 seconds is when the coin hits the ground
D) V(t) =-32t
V(7.071)= -32(7.071)
v= -226.272 ft/sec