Question

A student climbs to the top of the gym and drops a baseball to the ground below. A physics student standing nearby has a motion sensor and determines that the baseball hit the ground with a velocity of 17 m/s. if you ignore air resistance, how long was the baseball falling through the air?​

Answer 1

The baseball was falling during 1.733 seconds.

Step-by-step explanation:

The baseball experimented a free fall, which is a particular case of uniformly accelerated motion, in which object is accelerated by gravity. In this case, we need to determine the time spent by the ball before hitting the ground (
`t`), measured in seconds, which is determined by the following kinematic formula:

`t = (v-v_(o))/(g)` (1)

Where:

`v_(o)`,
`v` - Initial and final speeds of the baseball, measured in meters per second.

`g` - Gravitational acceleration, measured in meters per square second.

If we know that
`v_(o) = 0\,(m)/(s)`,
`v = 17\,(m)/(s)` and
`g = 9.807\,(m)/(s^(2))`, then the time spent by the baseball is:

`t = (17\,(m)/(s)-0\,(m)/(s) )/(9.807\,(m)/(s^(2)) )`

`t = 1.733\,s`

The baseball was falling during 1.733 seconds.