Question

Use the graph of $f(t)$ to answer the following questions. Note, you do not have enough information to generate the equation of $f(t)$. Make sure to label the graph with any points used in calculations. f 20 16 12 8 4 f(t) 2 4 6 8 t 10 a. If the graph represents the velocity, $f(t)$ in meters per second, of a car at $t$ seconds, use methods discussed in lectures and the text to estimate the distance traveled in the 1st 8 seconds. Include units. b. If the graph represents the distance, $f(t)$ in meters, of a car at $t$ seconds, use methods discussed in lectures and the text to estimate the velocity at 8 seconds. Include units.

          Use the graph of $f(t)$ to answer the following questions. Note, you do not have enough information to
generate the equation of $f(t)$. Make sure to label the graph with any points used in calculations.
f
20
16
12
8
4
f(t)
2
4 6 8
t
10
a. If the graph represents the velocity, $f(t)$ in meters per second, of a car at $t$ seconds, use methods
discussed in lectures and the text to estimate the distance traveled in the 1st 8 seconds. Include
units.
b. If the graph represents the distance, $f(t)$ in meters, of a car at $t$ seconds, use methods discussed in
lectures and the text to estimate the velocity at 8 seconds. Include units.

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Use the graph of f(t) to answer the following questions. Note, you do not have enough information to
generate the equation of f(t). Make sure to label the graph with any points used in calculations.
f
20
16
12
8
4
f(t)
2
4 6 8
t
10
a. If the graph represents the velocity, f(t) in meters per second, of a car at t seconds, use methods
discussed in lectures and the text to estimate the distance traveled in the 1st 8 seconds. Include
units.
b. If the graph represents the distance, f(t) in meters, of a car at t seconds, use methods discussed in
lectures and the text to estimate the velocity at 8 seconds. Include units.

Added by Travis S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Audrey Fong

01/23/2022

Step 1

Step 1: To estimate the distance traveled in the first 8 seconds, we need to find the area under the graph of ft from t = 0 to t = 8. Show more…

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Texts: Use the graph of ft to answer the following questions. Note, you do not have enough information to generate the equation of ft. Make sure to label the graph with any points used in calculations. 20 (t 16 12 8 8 10 a. If the graph represents the velocity, ft in meters per second, of a car at t seconds, use methods discussed in lectures and the text to estimate the distance traveled in the first 8 seconds. Include units. b. If the graph represents the distance Jt in meters, of a car at t seconds, use methods discussed in lectures and the text to estimate the velocity at 8 seconds. Include units.

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Transcript

00:01 In this question we're given that ball is thrown in the air.

00:03 Its initial velocity is 48 feet per second.

00:06 And its heart is given by this, where y is in feet and t is in seconds.

00:14 Starting at t equals to 2 seconds, we want to find the average velocity for the following four parts.

00:23 Let's start at t equals to 2.

00:27 Our y will be when you suck 2 into here, you will go.

00:31 Get 32 feet.

00:36 Now average velocity is total distance divided by the total time.

00:49 So in this case, for all the part one to part four, we will want to find the y at the time t.

00:58 So let's put the time t first and then we want to find the y at that time and we want to find the y at that time.

01:06 And we want to find the average velocity.

01:14 Okay time is in seconds.

01:16 Y is in feet, average velocity will be in feet per second.

01:24 Okay, for starting at time, t goes to do for the average velocity for 0 .5 seconds.

01:31 So the time at that point will be 2.

01:38 So the y, when you sub 2 .5 into over here, the y you will get will be 20 feet.

01:49 So the average velocity will be 20 feet.

01:49 So the average velocity will be 20 minus this one, 32, that's the total distance, over the total time will be 0 .5.

02:02 And you will get minus 24 feet per second...

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