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ASAP! If a certain cannon is fired from a height of 8.1 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = -4.9t^2. + 27.5t + 8.1. Find the time it takes for the cannonball to strike the ground.

The cannonball will strike the ground after about [] seconds.
(Type an integer or a decimal. Round to the nearest hundredth as needed.)

Sagot :

The time it takes for the cannonball to strike the ground if a certain cannon is fired from a height of 8.1 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ the time, t, in​ seconds, is found by the function h(t) =-4.9 t² + 27.5t + 8.1 is 5.612 seconds.

What is velocity?

A vector measure of movement's speed and direction is called velocity. Simply described, velocity is the rate of movement in a specific direction.

Given:

The height of the cannon = 8.1 m

The height equation, h  = -4.9 t² + 27.5t + 8.1

Calculate the time by putting the value of  height in the equation as shown below,

h = (-4.9 t² + 27.5t + 8.1)

8.1 = (-4.9 t² + 27.5t + 8.1)

-4.9 t² + 27.5t = 0

Solve the quadratic equation,

t = 5.61224 sec

Therefore, the time it takes for the cannonball to strike the ground if a certain cannon is fired from a height of 8.1 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ the time, t, in​ seconds, is found by the function h(t) =-4.9 t² + 27.5t + 8.1 is 5.612 seconds.

To know more about velocity:

https://brainly.com/question/19979064

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