The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
Answer:
1386 square units
Step-by-step explanation:
Area of a cirlce = Pi x r^2 [ Pi is 22/7 as stated in question]
22/7 x 21^2 = 1386 sq. units