Question

A rock is being launched from a third story window using a sling shot. Which type of function would best model the path of the rock?

A) Exponential
B) Linear
C) Quadratic
D) Rational

Answer 1

It is a quadratic function because gravity pulls it downward
The distance traveled is of the form d = vt + (1/2)gt^2 with g being the gravitational force of 32 ft/sec^2 and v the velocity and t is time.

Answer 2

C) Quadratic

Explanation:

When a rock is being launched from a third story window using a sling shot, it creates a projectile motion. The height (h) of any projectile motion above the ground after a time of (t) seconds is given by:-

`H(t) = - (1 / 2) g t ^(2) + V_(0) t + H_(0)`

where
`V_(0)` denotes the initial velocity at time t = 0,
`H_(0)` refers to the initial height at time t = 0 and g denotes the acceleration due to gravity on earth which is approximately equal to 32 ft / s².

It is of the form

H(t) = a t² + b t + c

where the vertex is given by t = - b / 2a

Thus, we can conclude the projectile motion function is of Quadratic type.