Question

A hot-air balloon rises vertically from the ground so that its height after t s is given by the following function. h = 1 2 t2 + 1 2 t ft where (0 ≤ t ≤ 60) (a) What is the height (in ft) of the balloon at the end of 35 sec? ft (b) What is the average velocity (in ft/sec) of the balloon between t = 0 and t = 35? ft/sec (c) What is the velocity at time t? v(t) = What is the velocity (in ft/sec) at the end of 35 sec? ft/sec

Name: a hot air balloon rises vertically from the ground so that its height after t s is given by the following function h 1 2 t2 1 2 t ft where 0 t 60 a what is the height in ft of the balloon at 42324
Uploaded: 2022-09-11T17:42:57-08:00
Duration: 2 min 36 s
Channel: Vishal Parmar
Description: a hot air balloon rises vertically from the ground so that its height after t s is given by the following function h 1 2 t2 1 2 t ft where 0 t 60 a what is the height in ft of the balloon at 42324

          A hot-air balloon rises vertically from the ground so that its
height after t s is given by the following
function.
h = 
1
2
t2 + 
1
2
t ft where
(0 ≤ t ≤ 60)
(a)
What is the height (in ft) of the balloon at the end
of 35 sec?
 ft
(b)
What is the average velocity (in ft/sec) of the balloon
between t = 0
and t = 35?
 ft/sec
(c)
What is the velocity at time t?
v(t) = 
What is the velocity (in ft/sec) at the end
of 35 sec?
 ft/sec

Added by Brian V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vishal Parmar

09/11/2022

Step 1

Substitute t = 35 into the equation: h = 1/2(35)^2 + 1/2(35) Calculate: h = 1/2(1225) + 1/2(35) = 612.5 + 17.5 = 630 ft Therefore, the height of the balloon at the end of 35 seconds is 630 ft. Show more…

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A hot-air balloon rises vertically from the ground so that its height after t s is given by the following function. h = 1 2 t2 + 1 2 t ft where (0 ≤ t ≤ 60) (a) What is the height (in ft) of the balloon at the end of 35 sec? ft (b) What is the average velocity (in ft/sec) of the balloon between t = 0 and t = 35? ft/sec (c) What is the velocity at time t? v(t) = What is the velocity (in ft/sec) at the end of 35 sec? ft/sec