shetroubleee
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A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times.
Based on the table, which function can best be used to model this situation?

A) h(t)=99t^2+858

B) h(t)= -4.9t^2+295+0.6

C) h(t)= -4.9t^2+285t+2

D) h(t)=99t^2+1,470.3

Respuesta :

inzel450
B. I hope this helped.
raphealnwobi

The function that best used to model this situation is h(t) = -4.9t² + 295 + 2

Projectile

Projectile is the curved motion of an object when it is thrown into space and acted by acceleration due to gravity.

  • The shape of the projectile is that of a parabola.

Let h(t) represent the height of the projectile at time t.

It is given by:

h = at² + bt + c

At point (5, 1353):

  • 1353 = a(5)² + 5b + c
  • 25a + 5b + c = 1353    (1)

At point (10, 2460):

  • 2460 = a(10)² + 10b + c
  • 100a + 10b + c = 2460    (2)

At point (15, 3323):

  • 3323 = a(15)² + 15b + c
  • 225a + 15b + c = 3323    (3)

a = -4.9, b = 295, c = 2

h(t) = -4.9t² + 295 + 2

The function that best used to model this situation is h(t) = -4.9t² + 295 + 2

Find out more on projectile at: https://brainly.com/question/24216590

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