Question

The distance an object falls varies directly as the square of the number of seconds it falls. If an object falls 256 feet in 4 seconds, how far will it fall in 6 seconds.

Answer 1

576 feet

Explanation:

D = kt²

256 = k(4)²

16k = 256

k = 16

D = 16t²

D = 16(6)²

D = 16 × 36

D = 576

Answer 2

384 ft

Explanation:

d₁ = kₓt₁²

256 = kₓ4

k = 256/4 = 64

d₂ = kₓt₂² = 64ₓ6 = 384 ft