ball is thrown 40 meters above ground. the height of the ball from the ground level after t seconds is defined by using the function h(t)=40t-5t^2. how long will the ball take to hit the ground

The ball will take 8.90 seconds to hit the ground.

Step-by-step explanation:

The height of a ball after t seconds is given by:

Determine how long will the ball take to hit ground level. Since the gound is 40 meters below the throwing point:

Rearranging:

Simplifying by 5:

Solving the quadratic equation with the formula:

With a=1, b=-8, c=-8

There are two solutions:

t=8.90 sec, t=-0.90 sec

Due to the nature of the problem, t cannot be negative, thus:

The ball will take 8.90 seconds to hit the ground.

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