If a projectile is shot vertically from the ground at #1 m/s#, how long will it remain in the air?

1 Answer
Apr 29, 2016

Answer:

#~~0.2s#

Explanation:

Since the projectile is projected vertically then free vertical motion under gravity to be applied.
Here Initial velocity #u = 1m/s#
If its time of flight be taken as T s, then after Ts it will return to the initial position at the ground ,making a verticalb displacement #h=0# Taking acceleration due to gravity #g =9.8ms^-2#
we can write:
#h=uxxT-1/2xxgxxT^2=>0=1xxT-1/2xx9.8xxT^2#
#:. T=1/4.9s~~0.2s#