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Eduardwww [97]
2 years ago
14

100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial s

peed of 70 meters per second can be modeled by the parabola f(x) = x − 0.002x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground. A.height: 125 m; distance: 500 m B.height: 250 m; distance: 22 m C. height: 500 m; distance: 125 m D. height: 22 m; distance: 250 m
Mathematics
2 answers:
Aleonysh [2.5K]2 years ago
8 0

\\ \rm\rightarrowtail y=x-0.002x^2

So

  • Put 250

\\ \rm\rightarrowtail y=250-0.002(250)^2

\\ \rm\rightarrowtail y=250-0.002(62500)

\\ \rm\rightarrowtail y=250-125

\\ \rm\rightarrowtail y=125m

  • This is max height

Distance:-

  • 2×height
  • 2×125
  • 500m
stellarik [79]2 years ago
6 0

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

250 times 2 = 500

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