Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a) to find velocity differentiate the height function with respect to time t
ds/dt=−16×2t+128×1
v=−32t +128 ft/s
b) at the maximum point of height the velocity becomes zero hence
v=0
−32t+128=0
t=4 seconds
the height at t = 4s
smax =−16×42+128×4
=256 ft
c) when the object hits the groud , height becomes zero
⇒s=0
−16t2+128t=0
16t(−t+8)=0
⇒t=0, 8
but t =0 is for starting
hence at t =8 seconds, object will hit the ground
THE ANSWERS FOR A, B, C, IS ABOVE
FIND D.)
Transcribed Image Text:-iii-
11. AN OBJECT IS TOSSED VERTICALLY UPWARD WITH A VELOCITY OF 128 ft/sec AND REACHES A
HEIGHT OF
s(t) = -16t2 + 128t.
a) WRITE THE VELOCITY FUNCTION
ANSWER:
b) HOW HIGH DOES THE OBJECT GO?
ANSWER:
c) WHEN DOES THE OBJECT HIT THE GROUND?
ANSWER:
d) WHAT IS THE VELOCITY AT IMPACT?
ANSWER:
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