on the interval 1sts3, with s in meters and t in secondsA body moveson a coordinate line such that it has a position s f(t)a. Find the body's displacement and average velocity for the given time intervalb. Find the body's speed and acceleration at the endpoints of the intervalc. When, if ever, during the interval does the body change direction?The body's displacement for the given time interval is(Type an integer or am.simplified fraction.)

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Asked Sep 20, 2019

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on the interval 1sts3, with s in meters and t in seconds
A body moves
on a coordinate line such that it has a position s f(t)
a. Find the body's displacement and average velocity for the given time interval
b. Find the body's speed and acceleration at the endpoints of the interval
c. When, if ever, during the interval does the body change direction?
The body's displacement for the given time interval is
(Type an integer or a
m.
simplified fraction.)
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on the interval 1sts3, with s in meters and t in seconds A body moves on a coordinate line such that it has a position s f(t) a. Find the body's displacement and average velocity for the given time interval b. Find the body's speed and acceleration at the endpoints of the interval c. When, if ever, during the interval does the body change direction? The body's displacement for the given time interval is (Type an integer or a m. simplified fraction.)

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check_circleExpert Solution
Step 1

Consider the given information

s in meter and t in time

9
(t)= 3
2
t
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9 (t)= 3 2 t

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Step 2

Subpart (a)

Displacement = Velocity = Speed = ds/dt

9 3
2
ds
t
dt
dt
d()_ d(f")
-2
= 9
-3
()p
( 2)3(-1)
dt
=9.
3
12
3
-18
3
2
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9 3 2 ds t dt dt d()_ d(f") -2 = 9 -3 ()p ( 2)3(-1) dt =9. 3 12 3 -18 3 2

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Step 3

Average velocity =( s’(3)...

s'(3)-s'(1)
S
Average velocity
2
9
3
33
32
2
1
-1
3
3
2
m/t
3
|
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s'(3)-s'(1) S Average velocity 2 9 3 33 32 2 1 -1 3 3 2 m/t 3 |

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Calculus