Will Nathan Drake make this jump in the unknown trailer?

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The time required for Drake to move vertically is exactly the same as the time required for him to move horizontally. This means that I can use the horizontal movement to calculate the time, and then use that amount of time in the vertical movement to find his final vertical position.

When Drake jumps, he needs to get up to a vertical position of zero meters; that is where the ramp is, and where I set the origin.If this final value is less than zero meters, he landed the following That plane. That would be bad.

It is not too difficult to determine horizontal movement. Because he has a constant velocity, I can find his final horizontal position using the following equation:

Illustration: Reid Allan

Check: I know the starting x position (x1 = 2.4 m) and the final x position (x2 = 0 m) so that I can use the x velocity to solve for the time required to complete the jump. (He is moving to the left, so it will be negative 3.37 m/s.)

Please note that we did not see the entire jump in the trailer, but if we did, it would take 0.71 seconds to reach the back ramp of the aircraft.

Now, I can use this time and substitute it into the vertical kinematics equation.This gives the final y position Negative 1.79 meters.

This is below zero, so there is only air below him. And remember: that’s bad.

We haven’t finished yet, but it’s worth spending some time wondering why he ended up reduce Than he started. This is because even though his initial speed is in the positive (upward) direction, it takes a long time to jump, so that gravity prevents him from moving upwards and makes him move downwards at faster and faster speeds.

How about the flowing air?

When you extend your hand out of the window of a moving car, you will feel something pushing you around. This is the interaction between your hand and the air molecules around the car-we call it air resistance. The amount of force you feel depends on the relative speed of the hand relative to the air and the size and shape of the hand. At very high speeds, this air resistance can be great.

Suppose the airplane has a flying speed of 120 mph-I like this value because it is the same as the terminal speed of a human skydiver. When someone falls in the air for a period of time, gravity will cause their speed to increase. But this increase in speed also increases the air resistance of the upward push. At some point shortly after the jump, upward air resistance equals downward gravity. This means that the total force is zero and the diver no longer accelerates. Instead, they are now moving at a constant speed. We call it terminal speed. Of course, humans can still adjust their bodies and interact with the air for steering and maneuvering-which is why skydiving is still fun.

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