(a) At any time t seconds, the distance x metres of a particle moving in a straight line from a fixed point is given by x = 4t² -3t+In(1+3t) Determine expressions for the initial velocity and acceleration of the particle and their values after 3 seconds.

Q: A particle is moving so that at any time t, its acceleration is 10t for t > or equal to 0. At the…

A: Given that,The acceleration of the particle is 10t for t ≥ 0.The particle reached at the distance of…

Q: line with a constant acceleration of -8 ms 2. A De in the direction that the particle is initially…

A:

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

A:

Q: Suppose that the acceleration of a vehicle at time t (in s) is given by a(t) = 2t+ 1 (mph/s).If the…

A:

Q: The displacement (in meters) of a particle moving in a straight line is given by s = 21³ where t is…

A:

Q: A 800-lb object is released from rest 500 ft above the ground and allowed to fall under the…

A: 1st we will formed differential equation for velocity of object , the solve it to get velocity .…

Q: A 800-lb object is released from rest 600 ft above the ground and allowed to fall under the…

A: According to the given information, it is required to determine the equation of motion of object…

Q: An object of mass 5 kg is released from rest 3000 m above the ground and allowed to fall under the…

A: Given that Object mass m=5kg Released from rest 3000m above Proportionality constant b=50 N-sec/m…