Homework Answers
![Position function, 5(H)=-4.942 +28++24. :., velocity = d517) = V(+) dt :> Avelage velociny én intewal tela,b].is .dt [ . dslt](http://img.homeworklib.com/questions/47b88aa0-6c98-11eb-a044-6f29e8423270.png?x-oss-process=image/resize,w_560)
![Average velocity Time [2,2-13 = (-4.9x12.17242842-1+24] - [4912** 2812 +24] 0.1 - -4.9x12.132 728X2.1 + 4.9*4*28x2 0.1 0.791](http://img.homeworklib.com/questions/483dcde0-6c98-11eb-b0c0-8f88fccb57aa.png?x-oss-process=image/resize,w_560)
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Consider the position function s(t) = -4.912 +28t+24. Complete the following table with the appropriate average...
20 10. For the position function S make a table of average velocities and make a...
20 10. For the position function S make a table of average velocities and make a conjecture about the 1+1 instantaneous velocity at time t = 0.
Consider an object moving along a line with the following velocity and initial position. Assume time...
Consider an object moving along a line with the following
velocity and initial position. Assume time t is measured in seconds
and velocities have units of m/s. Complete parts (a) through (d)
below.
Consider an object moving along a line with the following velocity and initial position. Assume time t is measured in seconds and velocities have units of m/s. Complete parts (a) through (d) below. v(t) = -1-2cos for Osts (0) = 0 (**). a. Over the given interval,...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare t...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
4. The position of an object as a function of time is given by x(t) at-bt...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
The more detailed solving process, the better. And hope you can make clear handwriting. Thank you...
The more detailed solving process, the better. And hope you can
make clear handwriting. Thank you
1. Explain why the average velocity found in Example 1 is larger than the instantaneous velocity found in Example 2. (Hint: Sketch the graph of velocity as a function of time. Is the function increasing or decreasing? What does that tell you about how the velocities at the beginning and end of the time interval compare with the average velocity during that time interval?)...
A car’s position as a function of time is given by the following equation: x(t) =...
A car’s position as a function of time is given by the following equation: x(t) = 5 m/s t + 2.8 m/s2t2– 0.15 m/s3t3. Find the average velocity from 0 to 5 s. Find the instantaneous velocity at 0, 3, and 5 s. Find the average acceleration from 0 to 5 s. Find the instantaneous acceleration at 0, 3, and 5 s. At what POSITIVE time does the car come to rest?
Consider a car whose position, s, is given by the table t(s) 0 0.2 0.4 0.6...
Consider a car whose position, s, is given by the table t(s) 0 0.2 0.4 0.6 0.8 1 s (ft) 0 0.4 1.3 3.8 6.5 9.6 Find the average velocity over the interval 0 <t<0.2. average velocity = — help (units) Estimate the velocity at t = 0.2. velocity = — help (units) Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer...
A projectile is fired vertically upward and has a position given by s(t) = - 161?...
A projectile is fired vertically upward and has a position given by s(t) = - 161? + 384t + 400 for 051825. Complete parts (a)-(e) below. a. Graph the position function for Osts 25. Choose the correct graph below. Each curve is graphed in a 1-4,25,1] by [0,3800,100window о А. b. From the graph of the position function, identify the time at which the projectile has an instantaneous velocity of zero, call this time = a t = 10 (Type...
The position of a particle as a function of time is given by r(t)=(-3.0m/s)ti +(6.0m)j+[ 7.0m-(4.0m/s^3)t^3]k...
The position of a particle as a function of time is given by r(t)=(-3.0m/s)ti +(6.0m)j+[ 7.0m-(4.0m/s^3)t^3]k a. what is the particle's displacement between t1=0 and t2=2.0s? b. determine the particle's instantaneous velocity as a function of time. c. what is the particle's average velocity between t1=0s and t2=2.0s? d. Is there a time when the particle has a velocity of zero? e. Determine the particle's instantaneous acceleration as a function of time? Can you please explain the formulas you used...
4. A car's position as a function of time is given by the following equation: x(t)-5...
4. A car's position as a function of time is given by the following equation: x(t)-5 m/s t+2.8 m/s2 t-0.15 m/s3 t3. a. Find the average velocity from 0 to 5 s b. Find the instantaneous velocity at 0, 3, and 5s. c. Find the average acceleration from 0 to 5 s. d. Find the instantaneous acceleration at 0, 3, and 5 s. e. At what POSITIVE time does the car come to rest?
20 10. For the position function S make a table of average velocities and make a conjecture about the 1+1 instantaneous velocity at time t = 0.
Consider an object moving along a line with the following
velocity and initial position. Assume time t is measured in seconds
and velocities have units of m/s. Complete parts (a) through (d)
below.
Consider an object moving along a line with the following velocity and initial position. Assume time t is measured in seconds and velocities have units of m/s. Complete parts (a) through (d) below. v(t) = -1-2cos for Osts (0) = 0 (**). a. Over the given interval,...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
The more detailed solving process, the better. And hope you can
make clear handwriting. Thank you
1. Explain why the average velocity found in Example 1 is larger than the instantaneous velocity found in Example 2. (Hint: Sketch the graph of velocity as a function of time. Is the function increasing or decreasing? What does that tell you about how the velocities at the beginning and end of the time interval compare with the average velocity during that time interval?)...
Consider a car whose position, s, is given by the table t(s) 0 0.2 0.4 0.6 0.8 1 s (ft) 0 0.4 1.3 3.8 6.5 9.6 Find the average velocity over the interval 0 <t<0.2. average velocity = — help (units) Estimate the velocity at t = 0.2. velocity = — help (units) Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer...
A projectile is fired vertically upward and has a position given by s(t) = - 161? + 384t + 400 for 051825. Complete parts (a)-(e) below. a. Graph the position function for Osts 25. Choose the correct graph below. Each curve is graphed in a 1-4,25,1] by [0,3800,100window о А. b. From the graph of the position function, identify the time at which the projectile has an instantaneous velocity of zero, call this time = a t = 10 (Type...
4. A car's position as a function of time is given by the following equation: x(t)-5 m/s t+2.8 m/s2 t-0.15 m/s3 t3. a. Find the average velocity from 0 to 5 s b. Find the instantaneous velocity at 0, 3, and 5s. c. Find the average acceleration from 0 to 5 s. d. Find the instantaneous acceleration at 0, 3, and 5 s. e. At what POSITIVE time does the car come to rest?
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