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A body moves on a coordinate line such that it has a position s f(t)t2-5t+4 on the interval 0sts4, with s in meters and t in seconds.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 ism.(Type an integer or a simplified fraction.)

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A body moves on a coordinate line such that it has a position s f(t)t2-5t+4 on the interval 0sts4, with s in meters and t in seconds.
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 ism.
(Type an integer or a simplified fraction.)
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A body moves on a coordinate line such that it has a position s f(t)t2-5t+4 on the interval 0sts4, with s in meters and t in seconds. 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 ism. (Type an integer or a simplified fraction.)

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Step 1

A body moves  on a coordinate  line such that  it has a  position  on the interval , with in  meters and t in seconds.

  1. Find the body’s displacement and average velocity for the given time interval
  2. Find the body’s speed and acceleration at the end point of the interval
  3. When, if ever, during the interval does the body change direction?
Step 2

To find the displacement we need to find the s(b)- s(a) in the given interval

Step 3

The displacement for th...

0st4 is s(4)-s(0)
Displacement=[(4)-5(4)+4]-[(0)2-5(0)+4]
-[16-20+4]-[4]
16-20+4-4
4m
The average velocity is the displacement divided by the time elapsed
4
4 0
m/sec
help_outline

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0st4 is s(4)-s(0) Displacement=[(4)-5(4)+4]-[(0)2-5(0)+4] -[16-20+4]-[4] 16-20+4-4 4m The average velocity is the displacement divided by the time elapsed 4 4 0 m/sec

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Tagged in

Math

Calculus

Derivative

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