Suppose a(t) = 2 m/s²gives the acceleration of a particle moving along a line in meters/second/second. Use the Net Change Theorem to find each of the following for the particle from t=0 second to t=5 seconds: a) Find the velocity function v(t) given that v(1)= -4 meters/second. b) Find the Displacement on [0,5]. b) Find the Distance traveled on [0,5].

Q: 1.)  Let s(t)= tlnt-t be the displacement of a particle (in feet) from the origin after t seconds.…

A: Velocity and acceleration from displacement function

Q: Given: v(t) = (t + 1)i + (3t)j Position at t = 1 is (4,9) Find the speed at t = 3. speed = √?

A:

Q: Suppose an arrow is shot upward on a certain planet with an intial height of 1.3 meters and an…

A:

Q: A sky diver weighing 192 lb (including equipment) falls vertically downward from a very high…

A: Given:

Q: An object moves in a straight line so that its velocity after t seconds is v(t) = 2/t – t. Determine…

A: Given, Velocity of the particle v(t) = 2t -t Particle is moving in the straight line We have to find…

Q: ight, in metres, of an object that has fallen from a height of 180 m is given sition function s(t) =…

A: We will find the required.

Q: A body of mass m fell from a vertical plane. Find the velocity of the object as a function of time…

A: Newton’s second law states that force is equal to mass times acceleration. mdvdt=F where F…