A father (100 kg)and his son (50 kg) are jogging at the same speed. Which statement is true about the kinetic energies (KE)of the father and the son? The father's KE is __ Two times smaller than the son's KE. Two times larger than the son's KE. Four times smaller than the son's KE. Four times larger than the son's KE.

## Step 1<br />The kinetic energy (KE) of an object is given by the formula:<br />### \( KE = \frac{1}{2}mv^2 \)<br />where \( m \) is the mass of the object and \( v \) is its velocity.<br /><br />## Step 2<br />In this problem, both the father and the son are jogging at the same speed, which means their velocities are the same. Therefore, the kinetic energy of each will be directly proportional to their masses.<br /><br />## Step 3<br />The father's mass is twice that of the son's (100 kg vs. 50 kg). Therefore, the father's kinetic energy will be twice that of the son's.