A box slides across a frictionless horizontal surface with constant acceleration 3.40 m/s2 and over a time interval reaches a final velocity of 13.0 m/s.

a. If its initial velocity is 6.50 m/s, what is its displacement (in m) during the time interval?
b. What is the distance it travels during this interval?
c. If its initial velocity is -6.00 m/s what is its displacement during the time interval?
d. What is the total distance it travels during the interval in part (c)?

Describe the path of the electric current through a circuit?

Certain bacteria (such as aquaspirillum magnetotacticum) tend to swim toward the earth’s geographic north pole because they contain tiny particles, called magnetosomes, that are sensitive to a magnetic field. if a transmission line carrying 100 a is laid underwater, at what range of distances would the magnetic field from this line be great enough to interfere with the migration of these bacteria? (assume that a field less than 5% of the earth’s field would have little effect on the bacteria. take the earth’s field to be 5.0 * 10-5 t, and ignore the effects of the seawater.)

Check the following equation for dimensional homogeneity: ⅆ mv=∫t1t2(f⁢cosθ)ⅆt where m is mass, v is velocity, f is force, θ is an angle, and t is time. check that each term in the equation has the following dimensions: [malbec] where you are to choose the coefficients a, b, c.