A chair, which was initially at rest, is thrown from a balcony and lands on the floor below. The elapsed time is 2.3 seconds. What is the speed of the chair just before impact?

The speed of the chair just before impact is 22.54 m/s

Explanation:

From the question,

The chair was initially at rest, that is, the initial velocity of the chair is 0 m/s.

Since the chair was thrown from a balcony, the chair will fall freely due to gravity.

To determine the speed of the chair just before impact, we will determine the final velocity of the chair.

From one of the equations of linear motion for objects falling freely due to gravity,

v = u + gt

Where v is the final velocity

u is the initial velocity

g is the acceleration due to gravity (Take g = 9.8 m/s²)

and t is time

From the question,

u = 0 m/s

t = 2.3 secs

Then, v = u + gt becomes

v = 0 + (9.8)(2.3)

v = 9.8 × 2.3

v = 22.54 m/s

Hence, the speed of the chair just before impact is 22.54 m/s.

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