. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how
1 answer:
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have
when the hawk reaches the rabbit the value of h is equal to zero
we have
substitute
Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure
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Hello there.
First, assume the numbers such that they satisties both affirmations:
- The sum of the squares of two numbers is
.
- The product of the two numbers is
.
With these informations, we can set the following equations:
Multiply both sides of the second equation by a factor of :
Make
We can rewrite the expression on the left hand side using the binomial expansion in reverse: , such that:
The square of a number is equal to if and only if such number is equal to
, thus:
Substituting that information from in
, we get:
Calculate the square root on both sides of the equation:
Once again with the information in , we have that:
The set of solutions of that satisfies both affirmations is:
This is the set we were looking for.