The position F of a particle moving in an xy plane is given by: F=(2.00t -5.00t)i +(6.00–7.00€*)} with F in meters and t in seconds. (Note that this is an example where the units for the coefficients are ignored – don't let this distract you!) In unit vector notation, calculate: а). г b). й с). ӑ for time t= 2.00 s. d). What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t= 2.00 s?

Vector A= -6i+4j Vector B= -3i-8j How do you find the quantity of abs(A+B)?

= A polo ball is hit with a mallet off the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 16.8t and y meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and ĵ. (Give the answer in terms of t.) r= By taking derivatives, do the following. (b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.) m (c) Obtain the expression for the acceleration vector a as a function of time (in m/s²). m/s² II m/s to || (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the polo ball at t = 2.85 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s².) 3 3.72t - 4.90t2, where x and y are in m/s m/s²

Vector R has a magnitude of 10 m. Its z component is 8 m. What are the possible values for its y component? Express your answer in meters. If there is more than one answer, separate them by a comma.

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The vectors in the diagram represent displacements of a particle where A and y=48°. What is the length in cm of the displacement vector, Ĉ Y D=3B-A? y α = 17.8 cm, В Ả B = 20.9 cm, C = 21.9 cm, a=31°, ß=11°, B X ...

Find the magnitude of the vector v = 9 cos(90)i + 9 sin(90) j. (Give an exact answer. Use symbolic notation and fractions where needed.) ||v|| =

Vector A has a magnitude A=5.3 and direction theta =62.0 degrees measured counterclockwise from the +x-axis. What is the x-component? Specify the answer to 3 decimals.

Vector A has a magnitude of 27.5 units and it points in a direction 320° counterclockwise from the positive x-axis. What are the x- and y-components of A? Answe is Ax = _ ans Ay = _.

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