44 . If v_(i)=0m/s,v_(f)=20m/s and t=5s. what is o? A 4m/s^2 B 4m/s C -4m/s^2 D 100m/s^2

To solve this problem, we can use the kinematic equation that relates initial velocity, final velocity, acceleration, and time:<br /><br />\[ v_f = v_i + a \cdot t \]<br /><br />Given:<br />- Initial velocity, \( v_i = 0 \, \text{m/s} \)<br />- Final velocity, \( v_f = 20 \, \text{m/s} \)<br />- Time, \( t = 5 \, \text{s} \)<br /><br />We need to find the acceleration, \( a \).<br /><br />Rearranging the equation to solve for \( a \):<br /><br />\[ a = \frac{v_f - v_i}{t} \]<br /><br />Substituting the given values:<br /><br />\[ a = \frac{20 \, \text{m/s} - 0 \, \text{m/s}}{5 \, \text{s}} \]<br />\[ a = \frac{20 \, \text{m/s}}{5 \, \text{s}} \]<br />\[ a = 4 \, \text{m/s}^2 \]<br /><br />Therefore, the correct answer is:<br /><br />A) \( 4 \, \text{m/s}^2 \)