Find the average velocity of an object for the interval 1

Q: A particle moves along a straight line with its position given by s(t) = -5t2 + 7t + 2. Find its…

A: In this question, we want to find the average velocity between t=1 and t=3.

Q: For the following problem, use the position function -16t^2 + v0t+ s0 for free following objects. A…

A: To calculate the required functions relating to the motion of the free falling object

Q: Use the table to find the instantaneous velocity of y at the specified value of x. /69 18) x 1 O.2 X…

A: Calculation:From the given Table, the value of y at x = 1 is 0.25.Compute the instantaneous velocity…

Q: 1. Let r(t)=-16 + 128t represent the height of a rocket shot upwards by a Calc 1 student to…

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Q: Suppose that a particle moves along a straight line with a velocity v(t) = 4– 2t, where t is in the…

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Q: Consider an object launched vertically upward from the top of a hill that is 144 ft above level with…

A: when the object reaches the maximum height it is about to free fall i.e., its velocity becomes…

Q: a) Find the average velocity for the time peric when t = 2 and lasting (i) 0.5 seconds (ii) 0.1…

A: Since you have asked multiple part question, we will solve the first3 part of the question for you…

Q: A particle moves along a line so that its velocity is given by v(t)=−t^3+2t^2+2^(−t) t≥0. For what…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t - 9t + 19,…

A: Given: s=t2-9t+19 For (a), (i) [3, 4] Average velocity = s(4)-s(3)4-3=-1-11=-2. (ii) [3.5, 4]…

Q: Find the average velocity of the function over the given interval. g(t) = 3+ tan t, |-14 %3D

A: Average value of any function is ratio of  difference in outputs and the difference between inputs.

Q: The position of an object moving vertically along a line is given by the function ​s(t) = -4.9t2 +…

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Q: Find the displacement of an object on the interval 1 ≤ t ≤ 6 if its velocity is shown. 8.5 O 10.5…

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Q: The position of a particle at time t is s(t) = t3 + t. Compute the average velocity over the time…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Given:The velocity function of the particle is v(t) = 5t-8.

Q: The position of an object moving along a line is given by the function s(t) = - 17t +136t. Find the…

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Q: 3. If f (t) = -t + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A: We are allow to solve only one question at a time  Thank you for your question

Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 - 8t + 17,…

A: We have solve the problem by putting the value of interval in average velocity formula.

Q: The displacement (in meters) of a particle moving in a straight line is given by s = 2 - 9t + 15,…

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Q: An object travels on the x-axis with avelocity given by v(t) = 2t + 5, for 0 ≤ t ≤4.a. How far does…

A: Given

Q: b) Use the velocity function v(t) = 2e" to compute the distance traveled by an object over the time…

A: The detailed solution is given below  Thank you

Q: The distance of a particle from some fixed point is given by the following function. s(t) =t + 4t-3…

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Q: The velocity of a particle on the time interval 1 ≤ t ≤ 4 is v(t) = t³ - 1, where v(t) is in cm/s.…

A: topic- average of function over interval

Q: The position of an object moving along a line is given by the function s(t) = – 6t +30t. Find the…

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Q: The position of a particle at time tis s(t) = 2t 3• Compute the average velocity over the time…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 – 5t + 15,…

A: Given: s=t2-5t+15, where t is measured in seconds

Q: If the position of an object is given by s(t) = 2 +t², then what is the average velocity of the…

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Q: If a rock is thrown upward on the planet Mathemagicland with a velocity of 12 m/s, its height in…

A: Given: velocity=12m/sy=12t-1.86t2

Q: A particle moves along a straight line with its position given by s(t) = -8t2 + 16t + 1. Find its…

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Q: The position function of a particle is given by the equation s(t) = -2t2 + 3t + 10. Determine the…

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Q: If a baseball is thrown upward with a velocity of 45 m/s, its height in meters t seconds later is…

A: We know that, Average velocity          = change in position/time elapsed.

Q: given the position function for an object in motion is s(t)=2t2+4t-1 what is the average velocity on…

A: Definition used:The average velocity of an object with position function f(t) over an interval [a,…

Q: Find the average velocity of the function over the given interval. y =x? + 4x, [2,8] 21 O A. 2 О В.…

A: The average velocity of the function f(x) over the interval [a,b] is given by: f(x)=f(b)-f(a)b-a

Q: 4) For the function p = x2y+ yz at the point (1,2,-1), find its rate of change with distance in the…

A: Given data: Function:

Q: The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of…

A: Given

Q: If a ball is thrown into the air with a velocity of 40ft/s, its height in feet t seconds later is…

A: The ball is thrown into the air with a velocity of 40ft/s, its height in feet t seconds later…

Q: (b) If a rock is thrown upwared on the planet mars with a velocity of 12ms, its height in meters t…

A: The height of the rock is given by: y(t)=12t-1.92t2 To find the average velocity over the interval…

Q: The velocity (v) of particle at distance (S) from a point on its path is given by the following…

A: Solution

Q: 19. The velocity of a car is recorded at half-second intervals (in feet per second). Use the average…

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Q: An object with an initial position of x(0) = 3 has a velocity of v(t) = tVt² + 9. %3D What is its…

A: We are given an initial object with an initial position of x(0) = 3 has a velocity of Now, position…

Q: The altitude of a helicopter at three different instants is listed as below: 0.2 445.98 0.45 t, sec…

A: We will start by using formula for derivative by 1st principle

Q: 8. Suppose that a particle moves along a straight line with velocity defined by v(t) = t2+3t – 18,…

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Q: The position of a toy train on a straight track is given by the following table. Find the velocity…

A: Find the velocity at t = 0.7

Q: The velocity function (in meters per second) is given by v(t) = t2 - 2t - 3, for a particle moving…

A: We will use formula for the Displacement and distance in terms of Velocity function

Q: Use the given velocity function and initial position to estimate the final position s(b) Round to…

A: Given,  v(t)=3(1-e-3t)

Q: The position of an object moving vertically along a line is given by the function s(t) = -4.9t + 28t…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 – 3t + 10…

A:

Q: Consider a car whose position, s, in feet, at time, t, in seconds, is given by the table t (s) 0 0.2…

A: To find the average velocity over the given intervals.

Q: The table gives the position s1t2 of an object moving along a line at time t, over a two-second…

A: Average velocity of the object over any time interval t0,t1 is given by Vavg=st1-st0t1-t0

Q: Consider a car whose position, s, is given by the table t (s) 00.20.4 0.60.8 1 s (ft) 00.5 1.4 3.8…

A: use average velocity formula for finding the value.

Q: Find the average speed over the time interval [1, 5] (time in seconds) of a particle whose position…

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