For the rest of this problem, assume that 0.3=α and 0.2−=β (each with appropriate SI units). b) Calculate my velocity vector at (i) t = 0 seconds, and (ii) t = 2.0 seconds c) Calculate my average acceleration for the interval from t = 0 to 2.0 seconds

The velocity vector of a particle is given by: V = Vje-)[sin(wt)i + cos(wt)j] where, Vo = 12.1 m/s; T = 2.5 s; w = 5.2 rad/s Calculate the magnitude of the acceleration (in m/s2) at t = 7.4 s

The position vector r describes the path of an object moving in space. Find the velocity v (t), speeds (t), and acceleration a (t), of the object. r(t) = (et cos(t), et sin(t), et) v(t) = +

Express the following vector in the form v = v,i+v2j+v3k. 3u - v if u = (2,9, -7) and v = (3, - 9,5)

Just need help with part B

A particle moving along a straight line has initial velocity v(0) = 1 m/s, and acceleration a(t) = sin(I-t) + cos(t+1) (in m/s?). (a. Find the velocity at time t. (b) Find the average velocity during the time interval [I, 211]. (c) Find the distance traveled during the time interval [1, 2I].

Problem 1: A car is moving on a straight road in a fixed direction at a constant speed of v = 31 km/h with respect to the road. You wish to state the kinematic vectors of the motion of the car by using a Cartesian coordinate system whose positive x-axis is pointed in the direction of the motion of the car and the origin is fixed at some point on the road. Part (a) What is the expression for the velocity of the car, using the speed v and the unit vectors i, j, and k? Expression : V = Select from the variables below to write your expression. Note that all variables may not be required. B, y, 0, i, b, d, g, h, j, k, m, n, P,S, v Part (b) What is the x-component of the position vector, in units of kilometers, at time t = 0.095 hr? Numeric : A numeric value is expected and not an expression. x =