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?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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?
Show that in general,the sum of the roots of a
ax2 +bx +c =0 is -b
a
whereas the product of the roots of a quadratic equation is
c
a
.
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