You attach a meter stick to an oak tree, such that the top of the meter stick is

Question

You attach a meter stick to an oak tree, such that the top of the meter stick is 2.47 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.301 seconds to pass the length of the meter stick, how high above the ground was the acorn before it fell (assuming that the acorn didn't run into any branches or leaves on the way down)?

You attach a meter stick to an oak tree. such that the top of the meter stick is 2.47 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.301 seconds to pass the length of the meter stick, how high above the ground was the acorn before it fell (assuming that the acorn didn't run into any branches or leaves on the way down)? Incorrect. Be careful when assigning signs. The Number acceleration should be downward, and the 3.64 m distance of the acorn above the ground also decreases over each time interval.

Explanation / Answer

Here ,

let the intial speed of acorn when it passes the meter stick is u

Using second equation of motion

1 = u * 0.301 + 0.5 * 9.8 * 0.301^2

solving for u

u = 1.85 m/s

Now, for the height from which it fell

height from which it fell = 2.47 + 1.85^2/(2 * 9.8)

height from which it fell = 2.65 m

the height from which the acron fell is 2.65 m

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