5. Let f(t) = 2t + cost-2. The positions at time t≥ 0 of a particle moving along a coordinate line is given by s= f(t). (a) Find the smallest time t≥ 0 at which the velocity equals 3/2. Find the acceleration at that time.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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i dont understand (b) is there a theorem that I need to memorize ?

5. Let f(t) = 2t + cost-2. The position s at time t≥ 0 of a particle moving along a coordinate line
is given by s= f(t).
(a) Find the smallest time t≥ 0 at which the velocity equals 3/2. Find the acceleration at that time.
f(t)=2= sint
{"(t)= - cost
velocity
-acceleration
f'(+) = 3/2₂
The sun allest solution: t
2- sut
-
3/2
+ = I
6-
(b) At how many times t≥ 0 is the particle positioned at s =
= 0?
sint = 1/2
Acc. at this time : + " (# ) = -ca ( = 1
f"
I
Transcribed Image Text:5. Let f(t) = 2t + cost-2. The position s at time t≥ 0 of a particle moving along a coordinate line is given by s= f(t). (a) Find the smallest time t≥ 0 at which the velocity equals 3/2. Find the acceleration at that time. f(t)=2= sint {"(t)= - cost velocity -acceleration f'(+) = 3/2₂ The sun allest solution: t 2- sut - 3/2 + = I 6- (b) At how many times t≥ 0 is the particle positioned at s = = 0? sint = 1/2 Acc. at this time : + " (# ) = -ca ( = 1 f" I
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