A particle is moving along a straight line. At time t seconds it's displacement , x meter from a fixed point O is such that d²x -16x dt2 Given that at t = 0 , x = 1 and the particle is moving with velocity 4ms¬1 . Determine the time taken, in seconds, for the particle to reach the maximum dx = 0 ) from O. dt displacement, in meters, ( Deteremine the maximum displacement of the particle from O.

Q: e acceleration function (in m/s?) and the initial velocity v(0) are given for a particle moving…

A:

Q: An object is moving horizontally along a straight line. Its position, in metres, after t seconds is…

A:

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

A:

Q: A country's production of solar power, in megawatts, can be modeled by f(t) = 340(1.2), where t is…

A: f(0): Solar power production in the year 2000. f'( 0): Rate of change in solar power production in…

Q: A particle is moving with acceleration a(t) = 18t + 8. its position at O is s(0) = 4 and its…

A: Given that  Acceleration of a particle is a(t) =18t+8 To find The position at time t=7.

Q: The acceleration function (in m/s) and the initial velocity v(0) (in m/s) are given for a particle…

A: As we know that; The expression for the acceleration of the particle; at=dvtdt Where ''v'' is the…

Q: A particle is moving along a line with an acceleration of a(t) = 6t-10 , initial velocity v(0) = 3…

A: Here according to the question the acceleration is given as a(t) = 6t-10   Then the velocity of the…

Q: Find the position function of a particle that travels along the x-axis for t >= 0 with acceleration…

A: Accelaration at=8t-5