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

Answer:

The baseball was falling during 1.733 seconds.

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:

$t = \frac{v-v_{o}}{g}$ (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 $v_{o} = 0\,\frac{m}{s}$, $v = 17\,\frac{m}{s}$ and $g = 9.807\,\frac{m}{s^{2}}$, then the time spent by the baseball is:

$t = \frac{17\,\frac{m}{s}-0\,\frac{m}{s} }{9.807\,\frac{m}{s^{2}} }$

$t = 1.733\,s$

The baseball was falling during 1.733 seconds.