A potato is launched vertically upward with an initial velocity of 123 ft/s from a potato gun at the top of an 85-foot-tall building. The distance in feet that the potato travels from the ground after t seconds is given by s(t) = -81t2 + 225t+ 3. (i) Find the velocity of the potato after 0.5 s = ft/s (ii) Find the speed of the potato at 0.5 s = ft/s (iii) Determine when the potato reaches its maximum height= ft/s2 (iv) Find the acceleration of the potato at 0.5 s =.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
lus I
- courses / MATH1200 / Current Activity / Worksheet 1
A potato is launched vertically upward with an initial velocity of 123 ft/s from a potato gun at the top
of an 85-foot-tall building. The distance in feet that the potato travels from the ground after t seconds
is given by s(t) = -81t² + 225t + 3.
(i) Find the velocity of the potato after 0.5 s =
ft/s
(ii) Find the speed of the potato at 0.5 s =
ft/s
S
(iii) Determine when the potato reaches its maximum height=
(iv) Find the acceleration of the potato at 0.5 s =.
ft/s?
Next page
Transcribed Image Text:lus I - courses / MATH1200 / Current Activity / Worksheet 1 A potato is launched vertically upward with an initial velocity of 123 ft/s from a potato gun at the top of an 85-foot-tall building. The distance in feet that the potato travels from the ground after t seconds is given by s(t) = -81t² + 225t + 3. (i) Find the velocity of the potato after 0.5 s = ft/s (ii) Find the speed of the potato at 0.5 s = ft/s S (iii) Determine when the potato reaches its maximum height= (iv) Find the acceleration of the potato at 0.5 s =. ft/s? Next page
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