A plane flying horizontally above earth’s surface at 100. meters per second drops a crate. the crate strikes the ground 30.0 seconds later. what is the magnitude of the horizontal component of the crate’s velocity just before it strikes the ground? [neglect friction.]

Since the plane is traveling at 100m/s horizontal to the surface of the earth, the crate will always have this horizontal velocity (neglecting air resistance) until it hits the ground. So the answer is 100m/s. Note the vertical speed continues to change as the crate accelerates downward toward earth (again neglecting air effects)

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moya1316 moya1316 · Answer 2 · 2021-10-28T12:12:39+02:00

The projectile launch ratios allow to find the result for the horizontal speed of the crate is:

It remains constant at vₓ = 100 m / s

Projectile launching is an application of kinematics where there is not acceleration on the x-axis and the y-axis is the gravity acceleration.

It indicates that the plane flies horizontally at vₓ = 100 m/s, when it drops crate. As they indicate that we do not take into account the air resistance, there is not acceleration on the x-axis, therefore its speed remains constant.

On the y-axis if there is gravity acceleration and the velocity increases. In the attachment we can see a diagram of the speeds.

In conclusion using the projectile launch ratios we find the result for the horizontal speed of the box is:

It remains constant at vₓ = 100 m / s

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