A particle is moving such that its position after t hours is s(t) =- -measured in meter. 4t +1 Find the velocity of the particle at t= 8.

Q: A particle is moving along the x-axis so that its position at time t≥0 is given by the equation…

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

A: Given, v(t)=t3-2t2   Interval [a,b]=[-2,3]

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 6t, where 0 <t < 2 (in…

A: To find the displacement at time t.

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

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 12 4t, where 0 ≤ t ≤ 2 (in…

A: For the particle moving in a straight line  Displacement 12t-2t2 Total distance travelled is 16…

Q: An 80-kg skydiver jumps out of an airplane (with zero initial velocity). Assume that k = 12 kg/s…

A: The skydiver's velocity is governed by the differential equation: And the solution to this equation…

Q: a ball is thrown straight upwards from a tower (40 feet high) so that its position, s in feet, at…

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

A:

Q: a particle moves according to the function s(t)= t^2 - 2t +5,  what is the instantaneous velocity of…

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

Q: Suppose that a particle moves along a straight line with velocity v(t) = 11 – 5t, where 0 <t 0.5 (-…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve the problem. A body of mass m is moving in a straight line with an initial velocity of 2 m/s…

A: Given:-   acceleration⇒6t2-2t+4initial  velocity  of 2m/sec  from origin at  t=0,a=acceleration;…

Q: Let v(t) = -13t + t² be the velocity, in ft/sec, of an object at time t, in seconds. a) What is the…

A: Given velocity function, v(t)= -13t + t²

Q: If a cannonball is shot directly upward with avelocity of 256 ft per second, its height above the…

A: Given: st=256t-16t2 We know that velocityvt and accelerationat is respectively first and second…

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 particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t.…

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)&gt;03t2-60t&gt;03t(t-20)&gt;0

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: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: The velocity of a particle moving along a straight line is given by v(t) = 6t² + 4t – 5 cm/sec at…

A:

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&gt;=0 if the position is x =2  at time t = 0  Position…

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: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation…

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Q: A Ferrari's position at time t is given by s(t) = t3 - 9t2 + 24t 2) What is the Ferrari's velocity…

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

Q: The velocity of a particle moving along a line is given by v(t)=t^3−4t^2 meters per second. Find the…

A: To find the displacement of the particle, velocity should be integrated w.r.t. time.

Q: A particle moves along the x-axis with velocity given by v(t)=3t^2-6tv(t)=3t2−6t for time t\ge…

A: Answer and explanation is given below..

Q: at time t20, the velocity of a body moving along the s-axis is v=t - 7t+ 6. When is the body's…

A: Explanation and solutions is given below....

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: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 3t, where 0<t < 4 (in…

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Q: nen does the particle reach a velocity of 137 m/s if its position function is given by:…

A:

Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 4t - 3 mis over…

A: Given velocity of particle is vt=4t-3. To find the dispalcement of particle over time interval 2,5.…

Q: * The velocity of a particle moving on a straight line is given by v(t) = t²e¯† meters per second at…

A:

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

A: Given: The velocity of the particle along x-axis is vt=10t+12 The particle is at the position x=2 at…

Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 – 18 for time t > 0. If the…

A:

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: Assume a particle's position is given by f(t)=3/t,where t is measured in seconds and f(t) is given…

A: Assume a particle's position is given by ft=3t ,where t is measured in seconds and ft is given in…

Q: A particle moves along the x−axis according to the equation x(t)=2t3+6t2−6t+1, where time t≥0 and is…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 1t, where 0 <ts 3 (in…

A:

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 + 1 for time t > 0. If the…

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: A particle moving along a line has position s(t) = t4 − 18t2 m at time t seconds. At which times…

A: St=t4-18t2The particle passes through the origin when St=0t4-18t2=0t2t2-18=0t2=0   t2-18=0⇒t=0…

Q: If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 80…

A: We need to find height, velocity, acceleration.

Q: 3. If f (t) = -t² + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A: Given : The function ,ft=-t2+5t+3 describes  the distance travelled by the ball in meters. To find:…

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: An object is moving along a straight line with its position in feet at time t in seconds given by s…

A: Given, Displacement of body s(t)=t3-2t2-7t+9

Q: Q3- Choose the correct answer: 1-If velocity of a particle is given 4 points by v = 10 + 2t2 m/s,…

A: If velocity of a particle is given by v=10+2t^2 m/s. the average acceleration between 2 and 5s is…

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: Suppose that a particle moves along a straight line with velocity v(t) = 14 – 3t, where 0 <t< 2 (in…

A: Given, Velocity of the particle = v(t) = 14 - 3t  We have to find the displacement at time t = 2 So,…

Q: A car moves in a straight line. At time t (measured in seconds), its position (measured in meters)…

A: