Use the graph of position, h(t), shown to estimate the velocity, v(t), at t = 4 seconds. 10 4 8 10 Time (sec) -4 meters per second O -2 meters per second 2 meters per second O4 meters per second 9. 7. 6. 3. 2. D54321 Height (m)

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A: Velocity and acceleration: s(t)=2t3-6t2-144t+6 The object is slowing down or speeding up means we…

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Q: 10) The height, in metres, of a toy rocket launched at an initial upward velocity of 30 m/s, from a…

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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: 224. Suppose that a particle moves along a straight line with velocity defined by v(t) =t-3t-18,…

A:

Q: 3. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 15t?…

A: The position of the particle along the horizontal line is given by: s(t)=2t3-15t2-84t+3

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A: To find the displacement at time t.

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Q: 2. A body moves along the straight path. If the given initial velocity is 2t2 – 4t + 5, what is the…

A: Given initial velocity is     vt = 2t2-4t+5As we know that velocity is rate of change of…

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A: A particle moves according to the function s(t)=t2-2t+5

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A: Recall what Newton said to us: Velocity = rate of change of position Hence, v(t) = dx/dt

Q: Q2. A particle moves along a straight line so that aftert (seconds), its distance from Oa fixed…

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A: Let's find.

Q: 4. (A) The position of a particle travelling along a horizontal line in t seconds is s(t) = t³ –…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: st=t4-18t2 Substitute 0 for s(t) into above position function. st=0t4-18t2=0t2t2-18=0t=0 or t2=18t=0…

Q: Q2. A particle moves along a straight line so that after t (seconds), its distance from O a fixed…

A: Since you have posted multiple subparts question in this question so I have solved first three parts…

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A: Instantaneous velocity of the particle is given by

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A: Given:    s(t) = t3 - 9t2 + 24 t   Velocity at t = 0

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A: The given question is taken from the physics  in which we have to find the velocity of the particle…

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Q: s =t² – 7t +15, where t is measured in seconds. (A) (i) Find the average velocity over the time…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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Q: (a) Suppose the distance s (in feet) covered moving along a o ha Straight ine road after t seconds…

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Q: 4. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t3 – 15t² –…

A: (a) consider the given displacement function, st=2t3-15t2-144t+2 use the following formula to find…

Q: 5. If s = t – 5t + 12t², find the velocity of the moving object when its accel- eration is zero.

A:

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Q: The velocity function (in meters per second) is given for a particle moving along a line. Find the…

A: As per the guidelines we are allowed to solve one question at a time, post second question again.

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A: Please find attachment for the details solution

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Q: Q2. A particle moves along a straight line so that after t (seconds), its distance from O a fixed…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 4. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t3 – 15t² –…

A: Given- st=2t3-15t2-144t+7 To find- The time intervals in which object is slowing down or speeding up…

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

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A: Given position function,p(t) = t3+3t2+3t+1

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A: Given…

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Q: please explain the whole question

A: The general form of Simpson’s rule is

Q: Q1. A particle moves along a straight line so that after t (seconds), its distance from O a fixed…

A: A particle is moving along the straight line so that it's distance from a fixed point 'O' after time…

Q: (a) Find the velocity of the particle at time t. s'(t) = (b) When is the velocity 0? (Use n as the…

A: Follow the procedure given below.

Q: The position of a body moving along s-axis at any time 't is given by s(t) = 4t- 12t, then the…

A:

Q: At time t seconds, the center of a bobbing cork is 2sin(2t) centimeters above or below water level.…

A: ft=2sin2t Now velocity is the derivative of position with respect to time. So differentiating…