a baseball in free fall initially traveling at -7.00 m/s speeds up to -12.5 m/s. how long does it take for…

a baseball in free fall initially traveling at -7.00 m/s speeds up to -12.5 m/s. how long does it take for the ball to reach its final velocity? t = ? s

a baseball in free fall initially traveling at -7.00 m/s speeds up to -12.5 m/s. how long does it take for the ball to reach its final velocity? t = ? s

Answer

Explanation:

Step1: Identify the acceleration

The acceleration due to gravity $g = - 9.8\ m/s^{2}$ (in free - fall near the Earth's surface).

Step2: Use the kinematic equation

The kinematic equation $v = v_0+at$ can be used, where $v$ is the final velocity, $v_0$ is the initial velocity, $a$ is the acceleration and $t$ is the time. We need to solve for $t$. Rearranging the equation gives $t=\frac{v - v_0}{a}$. Substitute $v=-12.5\ m/s$, $v_0 = - 7.00\ m/s$ and $a=-9.8\ m/s^{2}$ into the formula. $t=\frac{-12.5-(-7.00)}{-9.8}=\frac{-12.5 + 7.00}{-9.8}=\frac{-5.5}{-9.8}\approx0.56\ s$

Answer:

$0.56$