Consider the motion along the straight line r(t) = (1, 2, 7) + t(1,1,1). (a) What is the velocity and speed of r? Are they constant? (b) Does the motion s(t) = (2, 3, 8) + t³(1, 1, 1) go along the same straight line? (c) What is the velocity and speed of s? Are they constant?

A piece of wood moves at a velocity (measured in millimeters per year) of v(1) = r² – 3t – 4 where 1 = 1 would be the end of the first year. If a is the displacement of the wood in the first 5 years and b is the distance traveled in the first 5 years, what is a- b? None of the listed answers

The curve is described by V(t)=Vm*sin(w*t+theta). Given V1=21, V3=7.518 volts, V2=-V1, and T=5.5 msec. Find Vm (volts), w (rad/sec), theta (degrees), and t4 (ms).

An object's velocity as a function of time in one dimension is given by the expression; v(t) =  3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?

If vector a= (-15,-3h,3k), vector B= (-2h, 14, -k) and vector c= (-1,-5,0) determine the values of h and k such that a_|_b and a_|_c.

In the answer, it gives a formula f-ff=m(0) and afterwards simplies into 120 - ff = 0 and further into ff=120N. My question is how do you not have to divide by 0 to finish the equation if that makes sense. To simply further why are we able to ignore the m(0) portion?

The rate of change of altitude in cm/s of a bird is given by a′(t)=650ln(t+3). What is the total change in altitude between t=3 and t=7? Round your answer to the nearest whole number and do not include units.

A particle of mass m has a time-dependent position vector r(t) = (Rcos(ωt),Rsin(ωt),αt) in Cartesian coordinates, where R, ω and α are positive constants. What are the physical dimensions of R, ω and α? Show that the speed of the particle is constant. Does it mean that the acceleration is zero? Justify.

A vector is given by: i = (-2.11) + ( -4.28) ĵ+ ( 2.8 ) k. Determine the component of the unit vector û .

These are the component forms of vectors u and w: ū u = (-4,-3) w = (–1,5) Add the vectors. u+w=