Question

if a marble is shot straight upward with a velocity of 67 m/s, when will it reach its maximum height?

Answer 1

229 m

Step-by-step explanation:

Because the marble is shot straight up, you can use this equation:

(Vy)² = (Voy)² + 2g (y - yo)

Vy (velocity at max height) = 0

Vo = 67 m/s

g = 9.8 m/s²

yo = 0

Now solve for y:

0 = (67 m/s)² - 2(9.8 m/s²)(y - 0)

0 = (4489) - 19.6y

y = 4489/19.6 = 229 m