(3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x², where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain?

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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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Solve for question 3, 4 and 5 please

(3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet,
its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x?, where x is in seconds.
Showing all working, determine:
(a) How long will it take the projectile reach its maximum height?
(b) What is the highest height that the projectile can attain?
(4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0
b
is -- whereas the product of the roots of a quadratic equation is -
a
(5) The present value that will give a future value S in 4 years with interest compounded annually
varies inversely as the fourth power of 1 + r, where r is the annual interest rate.
If the present value of $1525.79 gives a future value of $2000, what would be the present value
of $10,000 in the future?
Transcribed Image Text:(3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x?, where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain? (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is -- whereas the product of the roots of a quadratic equation is - a (5) The present value that will give a future value S in 4 years with interest compounded annually varies inversely as the fourth power of 1 + r, where r is the annual interest rate. If the present value of $1525.79 gives a future value of $2000, what would be the present value of $10,000 in the future?
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