Question

it does not have to be an essay.

world.cyberhigh.org Navigate to... 17 | * A? O Activity 17: Essay Directions: In many sports, one can see that the trajectory of a ball follows a parabolic path. This means that the path of the ball is similar to a parabola. The height of an object moving under the influence of gravity can be modeled by using a quadratic equation. As an object fals, its speed continues to increase. Ignoring alr resistance, one can find the approximate height of a falling object using the quadratic function () = -16+0. The height is in feet, the time (his in seconds, and the initial height of the object (c) is in feet

Answer 1

A C f(h) GROUND

The equation of motion is,

$s=ut+\frac{1}{2}at^{2}$

where s= distance, u=initial velocity, a= acceleration and t=time

In this case since it is a free fall,

$\theta=0$,  
(4)! -)=s
and   $a=$ acceleration due to gravity$=g=32.1741 \frac{feet}{sec^{2}}\simeq 32\frac{feet}{sec^{2}}$

Substituting into the equations of motion,

$c-f(h)=\frac{1}{2}32 t^{2}$

$f(h)=c-\frac{1}{2}32 t^{2}=c-16 t^{2}$

Hence proven