Please show your work in steps just trying to make sure Im d

Please show your work in steps, just trying to make sure I\'m doing it correctly.

A) At what time will the steak attain its maximum height?

B) What is the maximum height that the steak attains?

C) How long will it take the steak to hit the pavement at height=0?

D) How high is the balcony of the tall tower? How do you know?

Solution

h(t) = (1/2)(-9.8t^2) +11.3t +160

a) Maximimu height is attained at vertex given by t = -b/2a

= -(11.3)/2*(-4.9)

= 1.15 sec

b) Maximum height plug t= 1.15 in h(t)

h(t) = (1/2)(-9.8*1.15^2) +11.3*(1.15) +160

= 166.51 mt

c) h(t) =0

(1/2)(-9.8t^2) +11.3t +160 =0

solve the quadratic equation :

one root is -ve neglect it

t= 6.98 sec

d) Height of balcony is the height h(t) when t=0 i.e. intial point

So, h(t) = 160 mt