A skydiver jumps from an airplane and accelerates toward the ground. His velocity can be modeled by the function v(t) = 1000t/5t+8, where v (t) is the velocity in feet per second, and t represents time in seconds. Due to air resistance, there is

a limiting velocity the skydiver will not exceed, called the "terminal velocity". At terminal velocity, the velocity does not

continue to increase. What is the terminal velocity? Justify your answer.

The terminal velocity is 8.00ft/s

Step-by-step explanation:

Given

Required

The terminal velocity

This implies that we calculate the maximum velocity.

First, we calculate the maximum value of t using:

Where:

So, we have:

Substitute this value of t in to get the maximum velocity

Using a calculator, we have:

Approximate

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

if x decreases by 4 then y increases by 10

step-by-step explanation: