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Zorluk: KolayGravity and Free Fall

A hiker accidentally knocks a rock off the edge of a steep cliff. Assuming there is no air resistance and the acceleration due to gravity is 10 m/s210\text{ m/s}^2, how fast is the rock traveling exactly 33 seconds after it begins to fall?

Cevap: 30 m/s

Cevap

30
In free fall with no air resistance, an object's speed increases by the acceleration of gravity each second. After 33 seconds of accelerating at 10 m/s210\text{ m/s}^2, the speed is exactly 30 m/s30\text{ m/s}.

Adım Adım Çözüm

1
Identify the relevant formula
v=gtv = gt
The rock starts from rest, so its speed depends only on gravitational acceleration multiplied by the elapsed time.
2
Substitute the given values into the formula
v=10×3=30v = 10 \times 3 = 30
Gravity accelerates the object by 10 m/s210\text{ m/s}^2 for every second it falls.

Anahtar Kavram

Velocity of an object in free fall increases linearly with time based on gravitational acceleration.
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