Noelle stands at the edge of a cliff and drops a rock. The height of the rock is given by the function f(x)-4.9x2 + 15, where c
is the number of seconds after noelle releases her rock.
Cesar, who is standing nearby on the ground, throws a rock straight up in the air. The height of Cesar’s rock is given by the function g(x)-4.9x2+10x, where x is the number of seconds after he releases his rock.
What is the height the money the two rocks are at the same level above ground.
Cesar, who is standing nearby on the ground, throws a rock straight up in the air. The height of Cesar’s rock is given by the function g(x)-4.9x2+10x, where x is the number of seconds after he releases his rock.
What is the height the money the two rocks are at the same level above ground.
1 answer:
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975
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