# Soaring high above a rugged canyon or a city street, a peregrine falcon spots its prey. – Question

**Question:**

Soaring high above a rugged canyon or a city street, a peregrine falcon

spots its prey. The falcon accelerates, then transforms its body into the

shape of a speeding bullet by pointing its head down and tucking in its

wings and feet. Within seconds of beginning its dive, called a stoop, the

peregrine falcon can reach speeds of up to 217 miles per hour.

About the same size as a crow, peregrine falcons are predators with

streamlined bodies and long, pointed wings. The falcon’s wings are

strong enough to give it the power to carry its prey back to a nest in the

cliffs or a top a high-rise city building. But the specialized wings of this

falcon provide more than just strength. They also enable the peregrine

falcon to claim the title of the fastest-moving animal on the earth.

Suppose that the height, in feet, of a peregrine falcon t seconds after it

starts diving toward its prey is modelled by the quadratic function

h (t) = ─16t2 ─20t + 1000.

(a) What is the sum of the zeros of the above polynomial ?

i) 1.25 ii) 2.5 iii) -1.25 iv) 5

(b) What is the product of zeroes of the given polynomial ?

i) 62.5 ii) -62.5 iii) -61.25 iv)62.05

(c) If the falcon is on 500ft tall building, how long it will take to reach to the prey?

i) 10 seconds ii) 7 seconds

iii) 5 seconds iv) 13 seconds

(d) What will be the height of the peregrine falcon in 2 seconds after it starts

diving toward its prey?

i) 869 ft ii) 896ft ii) impossible to find out iv) 890ft

e) What is the nature of the given quadratic equation

─16t2 ─20t + 1000=0 ?

i)Real and unequal ii) Real and equal iii)Does not exist iv)None

please ans this