If an archer shoots an arrow straight upward with an initial velocity of 160
1 answer:
Answer:
maximum height of the arrow will be 408 m
Step-by-step explanation:
We have given the function of height as
We know that first derivative of height will be velocity
So first derivative of height
We know that at maximum height velocity will be zero
t = 5 sec
Sp arrow will be at maximum height at t = 5 sec
So height at t = 5 sec will be
So maximum height of the arrow will be 408 m
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Let's look at the picture, let's imagine that the gray line is the perimeter fence and that the red OR the blue is the one dividing it. We can see that the blue line is longer than the red one, so it will be advantageous, to have a bigger area, to have the dividing fence the smallest possible.
Let's say then that the width (W) is bigger (or equal) to the length (L), so we have:
The area is W*L, so we have
this function is a parabola facing down, its zeros are 0 and 80, therefore its maximum is when L=40
hence, L=40 and W=(240-120)/2=60
It will be a rectangle, measuring 60x40 and the divinding fence will be 40
Let's say then that the width (W) is bigger (or equal) to the length (L), so we have:
The area is W*L, so we have
this function is a parabola facing down, its zeros are 0 and 80, therefore its maximum is when L=40
hence, L=40 and W=(240-120)/2=60
It will be a rectangle, measuring 60x40 and the divinding fence will be 40