Question

An egg drops from a nest at a height of 2.3 m. which equation can you use to calculate the impact speed of the egg? (assume no air resistance.)

a. ∆t= √2∆d/a
b. a= ∆v/∆t
c. ∆t= V1/a
d. V₂² = V₁² + 2a∆d

Answer 1

The equation that can be used to calculate the impact speed of the egg is V₂² = V₁² + 2a∆d. The correct option is d.

Step-by-step explanation:

To calculate the impact speed of the egg, we can use the equation V₂² = V₁² + 2a∆d.

In this equation:

• V₂ is the final velocity (impact speed) of the egg
• V₁ is the initial velocity of the egg (which is 0 m/s as it is dropped from rest)
• a is the acceleration due to gravity (approximately 9.8 m/s²)
• ∆d is the vertical distance the egg falls (which is 2.3 m)

Plugging in the values, we get:

V₂² = 0² + 2(9.8)(2.3)

V₂² = 45.44

V₂ ≈ √45.44

V₂ ≈ 6.74 m/s

Hence, Option d is correct.