Question

a stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where s(t) = 4.9t^2 + 29.4 and t is in seconds. if a stone is thrown downward at 29.4m/sec from a height of 132.3 m, how long will it take the stone to hit the ground?

Answer 1

Answer:

t = 9 s

Step-by-step explanation:

A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

$s(t) = -4.9t^2 + 29.4+132.3$

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

$-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9$

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.