Q 13. Applications of parabolas-Projectile motion. An object which is thrown or projected into the air, subject to only the acceleration of gravity is called a projectile, and its
path is called its trajectory. This curved path was shown by Galileo to be a parabola.
Parabola is represented by a polynomial. If the polynomial to represent the distance
covered is, P(t) = -5t?+40t+1.2
i)
What is the degree of the polynomial p(t)?
a) 0
b) 1
c)2
d) 3
ii)
The polynomial p(t) is classified as
a) Linear Polynomial b) Monomial
on the basis of number of terms.
c) Binomial d) Trinomial
d) (t-2)(t-2)
iii) If p(t) = 12-8t+16, then its factors are and
a) (t+4)(-4) b) (t+4) (t+4) c) (t-4) (-4)
s
iv) Find the value of polynomial p(t)= 3+2+19t+30 at t = -1.
a) 14
b) -14
c) 8
d) 46

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i. e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?