Amelia is riding the Giant Drop at Great America. If she free falls for 3.45 seconds, what will be her final velocity and displacement?
0 33.8m/s & -58.3m
33.8m/s & 58.3m
34m/s & 58m
33.8m/s & 58.3m

-33.8 m/s & -58.3 m

Explanation:

We have two known variables from the start: acceleration and time. Since Amelia is in free-fall, the acceleration is due to gravity (g = 9.8 m/s²). We want to find her final velocity and displacement after 3.45 seconds.

Let's start by finding displacement assuming her final velocity is -33.8 m/s.

Using this kinematic equation:

Substitute the known variables into the equation. Assuming the downwards direction is negative:

If Amelia's final velocity is -33.8 m/s, then her displacement is -58.3 m.

This eliminates the second and fourth choice, because the displacement would not match up with her final velocity.

The third choice does not make sense because if her final velocity was negative, her displacement would not be positive.

Therefore, the correct answer is choice A: -33.8 m/s & -58.3 m.

b.a device that inputs heat into a cool object

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.