You are standing on the ground when a friend standing on a balcony asks you to toss him his keys. He can catch the keys as long as they are at least 4 meters above the ground. If you toss the keys from an initial height of 2 meters with an initial vertical velocity of 1 meter per second, how long does your friend have to catch his keys?

Question

You are standing on the ground when a friend standing on a balcony asks you to toss him his keys.  He can catch the keys as long as they are at least 4 meters above the ground.  If you toss the keys from an initial height of 2 meters with an initial vertical velocity of 1 meter per second, how long does your friend have to catch his keys?

R_scott · Accepted Answer

4 = -4.9 t^2 + 1 t + 2 solve for t ... the time between the two t values is the time above 4 m using the given values , the keys will never reach 4 m