A physicist needs to develop a model for the path of a ball that is bouncing. The ball bounces first at
0 feet and then again at distance = 3 feet. At the top of its bounce, the ball is 6 feet in the air.
Decide which equation models the path of the ball and explain your decision.

Generally, from above we can understand f(x) has one root 0 and another root 3, and the parabola is downward facing so [tex]\left(x^2\right)[/tex]the coefficient will be -ve

So options C and Dare are not possible

[tex]y=a(x-0)(x-3) \\\\y=a\left(x^2-3 x\right)[/tex]

where x<0

In conclusion, Since only 1 st option matches the criteria with an equal -8 3

So

[tex]y=-\frac{8}{3}\left(x^2-3x\right)[/tex]

A physicist needs to develop a model for the path of a ball that is bouncing. The ball bounces first at 0 feet and then again at distance = 3 feet. At the top of its bounce, the ball is 6 feet in the air. Decide which equation models the path of the ball and explain your decision.

Answer :

Which equation models the path of the ball and explains your decision.?

Other Questions

A physicist needs to develop a model for the path of a ball that is bouncing. The ball bounces first at
0 feet and then again at distance = 3 feet. At the top of its bounce, the ball is 6 feet in the air.
Decide which equation models the path of the ball and explain your decision.