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If the rolling egg from the previous problem had a horizontal velocity of 4 m/s, how long would it take for it to strike the ground?

User Occhiso
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1 Answer

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Final answer:

To calculate the time it takes for an object with a horizontal velocity to hit the ground, we only consider the vertical motion. For an object falling from 1.5 meters, the time taken is roughly 0.55 seconds, calculated using the formula t = √(2h/g).

Step-by-step explanation:

To determine how long it takes for an object with a horizontal velocity to strike the ground, we need to ignore the horizontal motion because it does not affect the time to fall. Instead, we use the formula for the time of fall under gravity.

The formula is t = √(2h/g), where:

t is the time in seconds,

h is the height in meters,

g is the acceleration due to gravity, which is approximately 9.81 m/s².

Assuming the height from which the ball falls is similar to the height given in the example with the bullet, which is 1.5 meters:

t = √(2*1.5/9.81) = √(3/9.81) = √(0.3058) ≈ 0.55 seconds

Therefore, it would take approximately 0.55 seconds for the egg to strike the ground.

User Bottens
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