The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. the ball is 50 meters from the ground after about how many seconds? 2.45 3.16 5.48 7.07

Answer-

The ball is 50 meters from the ground after about 5.48 seconds.

Solution-

The quadratic model that represents the approximate height in meters after x seconds,

As the height is given as meters, and we have calculate the time at x at f(x)=50, so

Therefore, the ball is 50 meters from the ground after about 5.48 seconds.

Option C is correct

5.48 seconds

Step-by-step explanation:

The quadratic model:

           ....[1]

represents the approximate height, in meters, of a ball x seconds after being dropped.

It is also given that:

The ball is 50 meters from the ground.

⇒f(x) = 50 meter

Substitute this in [1] we get;

Subtract 200 from both sides we have;

Divide both sides by -5 we have;

or

⇒

Since, time cannot be in negative.

⇒x = 5.48 sec

Therefore, the ball is 50 meters from the ground after 5.48 seconds