Q&A

# 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