Section 1 The height h that a golf ball reaches after being shot by a machine is described by the function:
h(t) = 35t - 4.9t^2

And the horizontal distance d it can travel is described by the function:
d(t) = 52t

On both equations, t is the elapsed time in seconds.

Based on those two equations:

a) Compose a function that describes the height h of such a ball depending on the fact distance d it travels.

b) Calculate the height h for a ball that has traveled a horizontal distance of 200 meters.

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3