Motion with Constant Acceleration Two space crafts approaching on parallel paths

Spacecraft A and spacecraft B are traveling on paths parallel to an x axis. Initially, at t=0, A is located at XoA= -30 m, moving at VoA=+25 m/sec, and having constant acceleration aA = -4.5 meters per second squared. Also at t=0, spacecraft B is located at XoB= +60 m, moving with initial velocity VoB= -9.5 m/sec and acceleration zero. a. Picture all known information in a diagram. b. Find two times when A and B have the same x coordinate. c. Find the x coordinates when the two spacecraft are alongside each other. d. On one qualitative "x vs t" graph, show x(t) for both spacecraft. Write the x(t) coordinates of all seven intercepts and intersections.

Position vector r(t) with unit vectors. Connect r(0) and r(3) and the vector difference, D. From r(t) write and graph x(t) and y(t).

A point moves in the x,y plane. Position vector r(t), from the origin to the point, gives the location of the point at time, t. Unit vectors are i and j, each 1 unit long in the x and y directions respectively. Write answers assuming units of distance in meters and times in seconds. Given: r(t)= (2 t^2 + 15) i - (8 t - 9) j a. On an x,y axis system show r(0) and also r(3), then show vector D drawn from the head of r(0) to the head of r(3) showing that r(0) + D = r(3). b. From your drawing, find the magnitude and direction of the vector D. c. Write the velocity vector, v(t), then write v(3) with polar coordinates. d. Express the x coordinate as a function of time & make a qua... click for more

Newton's Second Law acceleration of a mass on a plane connected by a cord over a pulley to a suspended rock.

A mass M= 6.2 kg on a plane inclined at angle 33° is connected by a cord parallel to the plane then over a frictionless, massless pulley to a suspended rock of mass R. The friction coefficient, µ=.25 between the mass and the plane. (See pictures in attachment File #1.) Find the mass of the rock for the following situations: a. The rock is accelerating downward with acceleration a= 2.27 nt/kg. b. The rock is accelerating upward with acceleration a= 1.17 nt/kg. c. The rock is moving upward with constant speed. d. The rock is moving downward with constant speed.

Motion of a car on a circular path. Example of centripetal motion.

A car is traveling on a horizontal circular track or radius equal to 22 meters. If the coefficient of static friction is 0.951, what is the maximum speed that the car can take without skidding?

Tension in a string, hanging mass.

A mass of 4 kg is hanging from the roof of a porch by two wires. One wire makes an angle 30degree from the vertical and the other 45degree from the vertical. Determine the tension in the two wires.