Question

Applications of Parabolar-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 curve path was shown by Galileo to be a parabola. Parabola represented by a

polynomial. If the polynomial to represent the distance covered is p(t)=-5t2+40t+1.2

a. What is the degree of the polynomial

ii. 1

iii. 2

iv. 3

b. Find the height of the projectile 4 seconds after it is launched

i. 80.2 m ii. 81.2 m iii. 81.8 m iv. 84 m

c. The polynomial is classified as

on the basis of number of terms.

i. Linear Polynomial ii. Monomial iii. Binomial iv. Trinomial

d. The name of polynomial on the basis of degree is.

i. cubic-polynomial

ii. Constant polynomial

iii. Quadratic polynomial

iv. Bi-quadratic polynomial
​

Answer 1

a) iii. 2

b) ii. 81.2 m

c) iv. Trinomial

d) iii. Quadratic polynomial

Step-by-step explanation:

Polynomial is an expression consisting of variables and coefficients, involving operations of addition, subtraction, multiplication.

A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

Given the polynomial:

P(t)=-5t² + 40t + 1.2

Where t is the time and P(t) is the distance covered.

a) The degree of the polynomial is 2.

b) At t = 4:

P(4)= -5(4)² + 40(4) + 1.2 = 81.2 m

c) Since the polynomial has 3 terms, i.e. (-5t², 40t and 1.2). Hence the polynomial is a trinomial

d) The polynomial have a degree of 2, hence it is a Quadratic polynomial.