Friday

August 29, 2014

August 29, 2014

Posted by **John** on Sunday, November 13, 2011 at 7:15pm.

a)Find the distance (in meters) of the stone above ground level at time t.

b)With what velocity does it strike the ground? (Round your answer to one decimal place.)

c)If the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)

- Calculus -
**Damon**, Sunday, November 13, 2011 at 7:26pma = -g = -9.8

v = vi + a t = 0 -9.8 t

h = hi+vi t +.5 a t^2 = 200 +0- 4.9 t^2

there is an easy way to find v at ground using energy but this is calculus, not physics so:

0 = 200 - 4.9 t^2

t = 6.39 seconds to hit

v = 0 - 9.8 (.39 )

= -62.6 or 62.6 meters/second down

now if vi = -2

0 = 200 - 2t - 4.9 t^2

4.9 t^2 + 2 t - 200 = 0

solve with quadratic equation

**Related Questions**

calculus - A stone is dropped from the upper observation deck (the space deck) ...

Calculus - this homework is due in one hour and i have no idea how to answer ...

Calculus - An object is dropped from the observation deck of the Skylon Tower in...

physics - A stone is thrown straight up from the ground with an initial speed of...

physics - A penny is dropped from the observation deck of the Empire State ...

Physics - A penny is dropped from the observation deck of the Empire State ...

math - The CN Tower in Toronto, Canada, is the tallest free-standing structure ...

calculus - A bridge worker on the top deck of a double decked bridge needs to ...

math - Can someone please take a look at these results and make sure they're ...

physics - a stone is dropped from arising balloon at a height of 76m above the ...