A particle starts from rest at a fixed point O and moves in a straight so that t seconds later, its velocity v m/s is given by v=t+t+ 8. An expression for it displacement s m from O at time t is Select one

Q: a particle moves along a straight line with an acceleration of a= 4sin pye t divided by 2 m/s…

A: Given,      a = 4 sinπet2   dvdt = acceleration

Q: A particle moves along the x-axis so that at timet >0 its position is given by x(t) = 3t3 - 9t? –…

A: Given that x(t)=3t3-9t2-72t. We need to determine all the intervals when the acceleration of the…

Q: A particle moves along a line so that its position at any time t 2 0 is given by the function s(t) =…

A: Explanation of the answer is as follows

Q: If s = t2 - t³, find the velocity when the acceleration is zero. Express your answer in decimal form…

A:

Q: 7)If a ball is Ehrown into Ehe air with a velociby of sIftis, it's height in feet after t seconds…

A: Please refer the attached image for complete solution.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 – 5t, where 0 <t < 0.5…

A:

Q: A car moves along a line at time, t, where it’s position is s(t) = 5sin(6t). Determine the velocity…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 10- 5t, where 0 <t <1.5 (in…

A:

Q: Estimate (2.4) by using a linear approximation of f(z) =x² about the value z 2. %3D Round your…

A: We have to find

Q: A ball is thrown straight up with an initial velocity of 96 ft/sec, so that its height (in feet)…

A: A ball is thrown up with an initial velocity of 96 ft/sec, its height after t sec is given by s =…

Q: A partical is moving in a straight line with velocity v(t) = 2 sin 2t (m/sec). Then the total…

A: Calculate the distance travelled by substituting 2t=u: ∫03π/42sin2tdt=∫03π/2sinudu…

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: b) write an expression for the position in terms of time t, use c (lower case) to denote constant of…

A: a =dv/dt where a is acceleration

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

A: Please see the answer below.

Q: a car move with an initial velocity of * 50 m/s to the right, determine its position when t=15 s, if…

A: This is a problem related to newton's law of motion. Based on the general formula and concept we…

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: Car A starts from rest at t = 0 and travels along a straight road with a constant acceleration of 6…

A: Two cars are travelling to each other.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 12 – 3t, where 0 <t < 0.5…

A: Solution

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Given the initial velocity of the ball is u=36 m/s, the acceleration is f=-9.8 m/s2 and was launched…

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A:

Q: A particle moves along a line with acceleration 2 + 6t at time t. When t= 0, its velocity equals 3…

A: Particle acceleration velocity and position.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 5t, where 0 ≤ t ≤ 1.5…

A: The answer as follows:

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

A:

Q: Q2// Use Euler's method (with all details) to find approximate value of y when x = 3 of = 2y-2x²-3,…

A: The Given initial value problem is: dydx=2y-2x2-3, y(0)=2, h=0.3 To find: y(3) using Euler's…

Q: Two particles have positions at timet given by the equations x, =t -t and x, =6t2 -t°. Find the…

A: Given two position functions x1=t3-t and x2=6t2-t3 as a function of time t To find the velocities…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 7 - 3t, where 0 ≤ t ≤ 0.5…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 7 – 4t, where 0 <t < 1.5…

A:

Q: A woman's blood pressurep ranges from a high (the systölic pressure) to a low (the diastolic…

A:

Q: A ball is thrown upward from a height of 3.6 m at an initial speed of 63 m/sec. Acceleration…

A:

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = 10t(4 − t) (t +…

A: The given data isVt=10t4-tt+1t-7m/s.To find:The distance travelled by particle over interval t∈0,6.

Q: . Use a linear approximation to approximate V143. (Be sure to show enough work so I can tell you're…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 - 6t, where 0 < t < 1.5…

A:

Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second…

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 16t – 8 m/s over…

A: Topic = Application of integration

Q: A Ferrari's position at time t is given by s(t) = t3-9t2 + 24t 4) At what time is the acceleration…

A: Given the equation of position of Ferrari's s(t)=t3−9t2+24t    ....(1)

Q: An object moving in a straight line has an acceleration in m/s2 given by a = 18t + 4. Find its…

A:

Q: A projectile is shot vertically upwards from the earth's surface with air resistance equal to kv-g…

A: Given, Initial velocity=u Air resistance=kv^2g if height is h then we have to prove  h=1/2kg…

Q: Find the length of the curve y = In x from x = V3 to a = 2/2. o 1+홀 In를 None of the choices. Please…

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Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 45 m/sec. Acceleration…

A: Given that the initial speed=v0=45Initial height=h0=1.5Acceleration=a=-9.8So using the relation…

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: Given query is to find the velocity.

Q: If a ball is thrown vertically upward from the roof of a 64 foot tall building with a velocity of 80…

A: Let's find maximum height and velocity of ball at ground.

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: At time 0<t< 2, the velocity of a particle moving along the x-axis is given by v(t)= tsin(tcubed). b…

A:

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

A:

Q: The velocity of a particle moving along the x-axis is v(t) = 5t² – 4t + 2 and the particle passes…

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

Q: A particle moves along the x-axis so that at time t>0 its velocity is given by v(t) = 6t2 - 96t.…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 9- 6t, where 0<t< 0.5 (in…

A: Given: v(t) = 9 - 6t, t = 0.5s