Suppose the position of an object moving in a straight line is given by s(t) = 4t2 + 5t +2. Find the instantaneous velocity whent=5. The instantaneous velocity at t = 5 is

Q: Suppose the position of an object moving in a straight line is given by s(t) = 4t + 3t+ 4. Find the…

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Q: Suppose the position of an object moving in a straight line is given by s(t)= 5t + 3t + 4.. Find the…

A: We can find the answer as below.

Q: The displacement, in meters, of an object moving in a straight line is given by s(t) = 3+ 4t +t2,…

A: The displacement is given by

Q: The movement of a particle from time t=0 to t=9 is given by the equation s(t)=−5t2−5t−10. What is…

A:

Q: Suppose the position of an object moving in a straight line is given by s(t)= 5t2 − 2t − 7. Find the…

A: The position function of an object moving in a straight line is given by st=5t2-2t-7 The…

Q: Find the velocity of a particle when  S = t2 + 3t - 4 at t = 1 sec

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Q: Suppose the position of an object moving in a straight line is given by s(t)= 3t - 7t-8. Find the…

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Q: A particle is moving along a horizontal line such that its velocity is given by v(t) = 3ť² – 24t+36,…

A: Let's find.

Q: If the position of an object is s(t) = 16 + 10.5t – 4.9t meters from zero in t seconds, then what is…

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Q: A robot moves in the positive direction along a straight line so that after  minutes its distance is…

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t - 5t – 6. Find the…

A: Given position is : st=5t2-5t-6 Instantaneous velocity=dstdt=ddt5t2-5t-6=10t-5

Q: The value of the instantaneous velocity at t = 1 is

A: Consider the position function To calculate the instantaneous velocity

Q: Suppose the position of an object moving in a straight line is given by s(t) = t2 + 5t + 2. Find the…

A: Given: st=t2+5t+2, at t=6

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t2 − 2t − 7. Find…

A: Given: s(t)=5t2-2t-7, at t=2

Q: A particle moves along the x-axis with velocity given by v(t) = 6t² + 4t + 14 for time t > 0. If the…

A: Convert velocity into distance and time

Q: A moving object has a constant acceleration of -9.8 meters per square second. If its initial…

A:

Q: If a ball is thrown with a velocity 48 ft/s, its height in feet t seconds later is given by y = 48t…

A: Given that if a ball is thrown with a velocity 48ft/sec, its height in feet t seconds later is given…

Q: - The position of an object moving on a line is given by s(t) = 6t2 – t°, t > 0,

A: Solve

Q: A particle moving along a line has position s(t) = t 4 - 18t2 m at time t seconds. At which times…

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: If the position of a particle is represented by x(t) = -t2 + 1, what is its instantaneous velocity…

A: We are given that the position of a particle is represented by x(t)=-t2+1. Now, we need to find its…

Q: A particle moves along the x-axis with velocity given by v(t) = 10t + 12 for time t> 0. If the…

A: For the given velocity  v(t) = 10t +12 for t>=0 if the position is x =2  at time t = 0  Position…

Q: Suppose the position of an object moving in a straight line is given by s(t)= 5t2 − 2t − 7. Find the…

A: Given position of an object moving in a straight line is given by: st=5t2-2t-7 To find the…

Q: Suppose the position of an object moving in a straight line is given by s(t) = 4t +3t + 2. Find the…

A:

Q: Show that for motion in a straight line with constant acceleration a, initial velocity v0, and…

A: Let the acceleration a(t) = a, constant.Take integral on both sides to get velocity equation,

Q: Suppose the position of an object moving in a straight line is given by s(t) = t2 + 5t + 2. Find the…

A: we have to find the instantaneous velocity at t=1 position of the object is ,  s(t)=t2+5t+2

Q: Suppose the position of an object moving in a straight line is given by the specified function. Find…

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Q: The position function of a particle is given below. s(t) = 3 + 6t2 - 61t, t > 0 When does the…

A: Velocity function is the derivative of the position function. So differentiating s(t) with respect…

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t- 7t-8. Find the…

A: Given query is to find the velocity of the object at t = 2. We will use derivative to find the…

Q: - The position of an object moving on a line is given by s(t) = 6t2 – t°, t> 0,

A:

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t² +4t+4. Find the…

A: Given, s(t)=5t2+4t+4We know that v=dsdt

Q: Find an equation for the instantaneous velocity v(t) if the height of an object is defined as h(t)…

A: To find: The instantaneous velocity at any point in time. Given: The height of an object is .…

Q: Suppose the position of an object moving in a straight line is given by s(t) = 7t³ -² +6. Find the…

A:

Q: The movement of a particle from time t=0 to t=4 is given by the equation s(t)=−5t2−10t−6. What is…

A:

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t2 − 2t − 7. Find…

A: Given: s(t) = 5t2 − 2t − 7

Q: 4) The position of an object as a function of time is given by 8 = 2t + t +1 s(t) = a. Find the…

A: Definition used -                 Instantaneous velocity -  It is given by the derivative of…

Q: The position function of a particle is given by = t3 – 10.5t2 – 2t, t > 0 When does the particle…

A:

Q: Suppose the position of an object moving in a straight line is given by s(t) = 3t-: -7t-10. Find the…

A: We can find the answer as below.

Q: An element is moving along a straight line so that v ft/sec is the velocity of the particle at t…

A:

Q: A particle moves along the x-axis with velocity given by v(t) = 6t² – 10t for time t> 0. If the…

A:

Q: A particle is moving in a straight line with the velocity v(t) =1-t,0<t< 3. Compute the distance…

A: We have V=1-t⇒dxdt=1-t∫0△xdx=∫(1-t)dt

Q: If position is given by p(t)=-t^2+5t what is the velocity v(t) at t=2?

A: The position is p(t)=-t2+5t

Q: The position function of a particle is given by s(t)=t^3−4t^2−8t, t≥0 where s is measured in meters…

A: To find the velocity function from the position function, we have to differentiate position function…

Q: The position function of a particle is given below. s(t) = t3 + 3t2 - 6t, t 2 0 When does the…

A: The velocity function of a particle is given byv(t)=ddts(t)

Q: Let v(t) = t2 – 10t be the velocity, in ft/sec, of an object at time t, in seconds. a) What is the…

A:

Q: Suppose the velocity of an object is given by the following formula: v(t) = 2(t^2) +8t -12 When will…

A: To determine: Velocity of an object is given by the following formula:…

Q: At time t ≥ 0, the velocity of a body movingalong the horizontal s-axis is v = t2 - 4t + 3. When is…

A:

Q: A particle moving in a straight line is at a distance of s(t) = 1.lt³ + 13t feet from its starting…

A: The solution is given in next step

Q: A particle moves in a straight line with velocity v(t)=t2 How far does the particle move between…

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Q: The position of an object at timet is given by s(t) = 3 - 4t. Find the instantaneous velocity at t =…

A: Here we have  S(t)= 3-4t At t=8

Q: The displacement of a particle moving back and forth along a straight line is given by the motion…

A: We have to solve given problem: