if a 4.5 kg object is dropped from a height of 6.0 m, what will be its velocity when it is halfway toward…

if a 4.5 kg object is dropped from a height of 6.0 m, what will be its velocity when it is halfway toward the ground? (use g = 9.80 m/s², and ignore air resistance.)\n7.7 m/s\n11 m/s\n16 m/s\n29 m/s

if a 4.5 kg object is dropped from a height of 6.0 m, what will be its velocity when it is halfway toward the ground? (use g = 9.80 m/s², and ignore air resistance.)\n7.7 m/s\n11 m/s\n16 m/s\n29 m/s

Answer

Explanation:

Step1: Determine the height fallen

The object is halfway to the ground. The initial height $h_0 = 6.0$ m, so the height fallen $h=\frac{6.0}{2}= 3.0$ m.

Step2: Use the kinematic - equation

The kinematic equation $v^{2}=v_{0}^{2}+2ah$. Since the object is dropped, $v_{0} = 0$ m/s, and the acceleration $a = g=9.80$ m/s². Substituting the values into the equation: $v^{2}=0 + 2\times9.80\times3.0$ $v^{2}=58.8$

Step3: Solve for $v$

Take the square - root of both sides: $v=\sqrt{58.8}\approx7.7$ m/s

Answer:

7.7 m/s