A. Define scalar and vector physical quantities, and provide two examples of eac

Question

A. Define scalar and vector physical quantities, and provide two examples of each. b. The polar coordinates of a point are r = 6.5 m and theta = 210 degree. What are the Cartesian coordinates of this point? c. Find A + B, |A + B|, and the direction of A + B if A = 5i - 2j and B = -3i - 6 j. d. After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time t is given by v(t) = 1.3 i - 9.8t j. The balls displacement away from the edge of the table, during the time of 0.4 seconds for which the ball is in flight, is given by integral ^0.4 _0 v(t)dt. Calculate the displacement of the ball.

Explanation / Answer

3

a) scaler -quantities which have only magnitude

Example=speed,distance

Vector-quantities which have both magnitude and direction

Example-velocity, force

b) cartesial cordinates are

x=-6.5cos(30)=-5.63

y=-6.5sin(30)=-3.25

c) A+B=2i-8j

Magnitude =sqrt(68)=8.25

Direction=tan-1(8/2)=-75.9 or 284.1 degree from +x

C) taking integral we got

x=1.3t i -4.9t*t j

Putting t=0.4

We got

x=0.52 i-0.784j

So displacement magnitude=0.94

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