disregarding air resistance, what is the speed of a ball dropped from 12 feet just before it hits the…

disregarding air resistance, what is the speed of a ball dropped from 12 feet just before it hits the ground? (use 1 ft = 0.30 m, and use g = 9.8 m/s².)\n2.4 m/s\n8.4 m/s\n10.8 m/s\n15.3 m/s

disregarding air resistance, what is the speed of a ball dropped from 12 feet just before it hits the ground? (use 1 ft = 0.30 m, and use g = 9.8 m/s².)\n2.4 m/s\n8.4 m/s\n10.8 m/s\n15.3 m/s

Answer

Explanation:

Step1: Convert height to meters

$h = 12\times0.30=3.6$ m

Step2: Use the kinematic - equation

The kinematic equation $v^{2}=v_{0}^{2}+2gh$. Since the ball is dropped, $v_{0} = 0$ m/s. So $v^{2}=2gh$. Substitute $g = 9.8$ m/s² and $h = 3.6$ m into the equation: $v^{2}=2\times9.8\times3.6$ $v^{2}=70.56$

Step3: Solve for $v$

$v=\sqrt{70.56}=8.4$ m/s

Answer:

8.4 m/s