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