The position function of a particle is given below. s(t) = t3 + 1.5t2 - 55t, tz 0 %3D When does the particle reach a velocity of 5 m/s? second(s)

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

A:

Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: Find dx5 d³y for y = sinh(4x²) – /coth(6x³) %3D

A:

Q: At t seconds, an object in rectilinear motion is s meters from the origin, where s(t) = t - t + 1.…

A: Given, Position function, s(t)=t4-t3+1 ∴ Velocity function, v(t)=s'(t) =>v(t)=4t3-3t2

Q: If a rock is thrown upward on the planet Moon with a velocity of 10m/s, its height after t seconds…

A: Given: h(t)=10t-0.81t2

Q: At time t20, the acceleration of a particle moving on the x-axis is a(t)=t+sint. At t = 0, the…

A: To find the value of t , when velocity is equal to zero , Given that : a(t) = t + Sin(t) And…

Q: dy/dx=(x+3y-5)/(x-y-1) solve this diff.equation

A: Consider the given differential equation. dydx=x+3y-5x-y-1 Put the following values in the equation.…

Q: A particle moves according to a law of motion s = f(t), t2 0, where t is measured in seconds and s…

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

Q: Find d2y/dx2. y=5x3/3   -2x

A: