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Which equation would best help solve the following problem?

Rita hits a tennis ball with an initial velocity of 15 meters/sec. When she hits the ball, it is one meter above the ground. How long will it take for the ball to hit the ground?

Question 1 options:

4.9t2 + 15t + 1 = 0


–4.9t2 + 15t = 1


–16t2+ 15t + 1 = 0


–4.9t2 + 15t + 1 = 0

Respuesta :

The equation needed to solve the required time is –4.9t^2 + 15t + 1 = 0

Equation of motion

To get the required equation, we can use the equation of motion under constant acceleration.

According to the equation of motion

s = ut + 0.5gt^2

Given the following

  • displacement = -1
  • u =  15 m/s
  • g = -9.81 ms-2

Substitute into the equation:

[tex]-1 = 15t +0.5*-9.81*t^2\\-4.9t^2 + 15t + 1 = 0[/tex]

Hence the equation needed to solve the required time is –4.9t^2 + 15t + 1 = 0

Learn more on the equation here: https://brainly.com/question/2972832