Q 2 as a functi follow your locte, I will glatly give you maximu reaatde partial

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Q 2

as a functi follow your locte, I will glatly give you maximu reaatde partial de the unit use that r e displace values to the variables in the formulas, based on the quantitie stated to be have nothing to ive air resistance and friction in all problems unless explicitly stated Earth as an inertial reference frame i.e. ignore the rotation of the Earth urless explicitly Assume ropes and pulleys are massless, pulleys are frictionless, ropes are tant d use the problems take place on planet Earth, near the surface, unless explic other have trouble doing the problem algebraically, t em this as a stepping stone to figure out the algebraic exp and ry making up numbers for quantities lak 1. The speed of light is approximatelyc ressions. mile=1609 meters. 3.00 10 meters per second. Express e in miles per hour. 2. lhe acceleration of a particle is a(t) = m/s2 and t is in seconds. What units mu 3tit 4 sin(2t)y where t is time. If the acceleration is in make sense? st the numbers 3, 4, and 2 carry in order for the expression Hint: Similarly to the exponential on the p ss. A way to understand this is that sin /3!!.. (Just like in the exponential on the ractice exam, the sin(2t) and its argument must be dimension- practice, you see that different powers of the argument are added so the sine function as a whole and its argument must be dimensionless since different units cannot be added together.) Vector A has a magnitude of 2.0 and is at an angle of 60 degrees to positive x-axis ector B has a magnitude of 3.0 and is at an angle of 90 degrees to the positive x-axis The formula sheet contains useful formulas and definitions. t it should illustrate the relationship between the vectors and get across the general features such a ich vector is longer. )Sketch vectors A, B, -B, and A -Bon the same graph. The picture does not have to be super precise Sketch vectors A. B.-

Explanation / Answer

a = 3t x^ + 4sin(2t) y^

now 3t has dimensions of acceleration

=> m/s2 = (unit of 3)(s)

=> unit of 3 = m/s3

also 2t should be dimensionless

=> unitless = (unit of 2)(s)

=> unit of 2 = s-1

now 4 should have units of acceleration

=> unit of 4 = m/s2

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