Please kindly find the attached question. Thank you for your quick response in advance. a. Define scalar and vector physical quantities, and provide two examples ofeach.b. The polar coordinates of a point arer= 6.5 m and 0 = 210°. What are theCartesian coordinates of this point?c. Find A + B, |A + BỊ, 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 velocityas a function of tie t is given by v(t) = 1.3 i– 9.8t j. The ball's displace-ment away from the edge of the table, during the time of 0.4 seconds forwhich the ball is in flight, is given by * v(t)dt. Calculate the displace-ment of the ball.3.

Answered: a. Define scalar and vector physical…

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Please kindly find the attached question. Thank you for your quick response in advance.

a. Define scalar and vector physical quantities, and provide two examples of
each.
b. The polar coordinates of a point arer= 6.5 m and 0 = 210°. What are the
Cartesian coordinates of this point?
c. Find A + B, |A + BỊ, 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 tie t is given by v(t) = 1.3 i– 9.8t j. The ball's displace-
ment away from the edge of the table, during the time of 0.4 seconds for
which the ball is in flight, is given by * v(t)dt. Calculate the displace-
ment of the ball.
3.

Expert Solution

Step 1

Part (a)
The scalar quantities are the physical quantities that have only magnitude and no direction. In scalar, the quantities are described by the numerical value without direction.
Example- distance, mass.

The vector quantities are the physical quantities that has both magnitude and direction.

Example-Force, displacement.

Part (b)

Given:

The polar coordinate point is r=6.5 m.

The angle is $θ = 210 °$

The expression for x component of Cartesian coordinate is:

$x = r \cos θ x = (6.5 m) \cos (210 °) x = - 5.6 m$

The expression for y component of Cartesian coordinate is:

$y = r \sin θ y = (6.5 m) \sin (210 °) y = - 3.2 m$

Thus, the Cartesian coordinate is (-5.6 m,-3.2 m).

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