lizzieellingburg
Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Which equation would best help solve the following problem? Jenna hits a tennis ball with an initial vertical velocity of 15 m/s. When she hits the ball, it is 1 m above the ground. How long will it take for the ball to hit the ground? 0-16t+ 15t + 1 = 0 -4.912 + 150 = 1 0 -4.91? + 15t+1=0 This 0 4.9t2 + 15t + 1 = 0​

Sagot :

facundo3141592

To find the time that it will take for the ball to hit the ground we need to solve:

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m = 0m.

¿How to find the motion equation for the ball?

We should start by the easier part, which is acceleration.

The only force acting on the ball will be the gravitational force, this means that the acceleration of the ball is -9.8 m/s^2

a(t) = -9.8 m/s^2

To get the velocity, we integrate over time, and remember that the constant of integration is equal to the initial velocity, which we already know is equal to 15m/s.

v(t) = (-9.8 m/s^2)*t + 15m/s.

To get the position equation we integrate again, this time the constant of integration is the initial position, which is 1m.

p(t) = (1/2)(-9.8 m/s^2)*t^2 + (15m/s)*t + 1m

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m

The ball will hit the ground when the position is equal to zero, so we need to solve:

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m = 0m.

If you want to learn more about motion equations, you can read:

https://brainly.com/question/605631

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.