I would like to know if my answers are correct. I also don\'t know what to put f
ID: 2895832 • Letter: I
Question
I would like to know if my answers are correct. I also don't know what to put for the question, "what do these differences represent"? Thank you.
(1 point) A student with a third floor dormitory window 32 feet off the ground tosses a water balloon straight up in the air with an initial velocity of 16 feet per second. It turns out that the instantaneous velocity of the water balloon is given by the velocity function v(t) 32t + 16, where u is measured in feet per second and t is measured in seconds. Let s(t) represent the height of the water balloon above the ground at time t, and note that s is an antiderivative of v. That is, v is the derivative of s: s'(t)(t). Find a formula tor s(t) that satisfies the initial condition that the balloon is tossed from 32 teet above ground. In other words make your formula for s satisty s(0) 32 s(t) = -16t"2 +161+32 At what time does the water balloon reach its maximum height? 1/2 At what time does the water balloon land? t 2.71 Compute the three differences 8) 8(0)--4 (2)36 (2)-(0-32 What do these differences represent? What is the total vertical distance traveled by the water balloon from the time it is tossed until the time it lands? Total vertical distance 40 The graph of the velocity function y u(t) on the interval 10, 21 is shown below.Explanation / Answer
the answers are correct here since v denotes the velocity at any instant t so s denotes the displacement at any instant t so s(t1)-s(t2) denotes the difference in position of particle in time t1 and t2.