A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function
h(t) = -16 + 321. When is the soccer ball moving through the air?

Respuesta :

Answer:

In words the answer is between t=0 and t=2.

In interval notation the answer is (0,2)

In inequality notation the answer is 0<t<2

Big note: You should make sure the function I use what you meant.

Step-by-step explanation:

I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.

So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.

0=-16t^2+32t

0=-16t(t-2)

So at t=0 and t=2

So the ball is in the air between t=0 and t=2

Interval notation (0,2)

Inequality notation 0<t<2

  • The solution is between t=0 and t=2 in words.
  • The solution in interval notation is (0,2).
  • The solution is 0<t<2 in inequality notation.

What is the final and initial velocity?

  • Initial velocity describes how fast an object travels when gravity first applies force on the object.
  • On the other hand, the final velocity is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.

What is initial velocity example?

  • For example, if a projectile is moving upwards with a velocity of 39.2 m/s at 0 seconds, then its velocity will be 29.4 m/s after 1 second, 19.6 m/s after 2 seconds, 9.8 m/s after 3 seconds, and 0 m/s after 4 seconds.

According to the question:

  • Make sure the function I use is what you intended, please.
  • I'm going to interpret it as h(t)=-16t^2+32t, so I'm hoping that's the function.
  • The ball is in the air between those two numbers, therefore if we can determine when it is on the ground or has hit the ground (when h=0), we can determine when it is in the air.

0 = -16t^2+32t.

0 = -16t(t-2).

So, at t=0 and t=2.

Thus, between t=0 and t=2, the ball is in the air.

Periodic notation (0,2).

Inequality notation 0<t<2.

Learn more about initial velocity here:

https://brainly.com/question/21010554

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