Two objects, A and B, are moving along two different straight lines at constant speeds. With reference to a particular coordinate system in which distance is measured in metres, the position of A at time t (in minutes) is (2t − 1, 3t + 3), and the position of B is (5t − 2, 2t + 5). Find the equation of the line that A moves along.

A snowmobile is originally at the point with position vector 27.1 m at 95.0° counterclockwise from the x axis, moving with velocity 4.13 m/s at 40.0°. It moves with constant acceleration 15 m at 200 After 5.00 s have elapsed, find the following. (Express your answers in vector form.) (a) its velocity vector (b) its position vector

Just need help with part B

Alice, Bruce, Chad, and Dave are enjoying a trip to the amusement park. Alice rides the Ferris Wheel (47.75 meters in diameter), but Bruce decides simply to watch. Chad and Dave are riding the monorail that passes along a straight track just below the Ferris Wheel's bottom. The monorail moves at a constant speed of 9 m/s. The first time that Alice passes Bruce (who is standing right next to Alice but on the ground), Alice and Bruce look at their watches, and Chad (who happens to be passing under Alice's seat on the Ferris Wheel at that instant) looks at the clock on her seat's fancy electronic display. This is event A. When Alice passes Bruce the next time (call this event B), Alice and Bruce again look at their watches, and Dave, who happens to be passing under Alice's position at just that instant, looks at his display (which we assume is synchronized with Chad's display). Everyone determines the time interval that they measure between these momentous events (Chad and Dave by…

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 =

A car is moving on a straight road in a fixed direction at a constant speed of v = 64 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? Part (b) What is the x-component of the position vector, in units of kilometers, at time t = 0.035 hr?