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.

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.