5. If \( \vec{v} \) lies in the first quadrant and makes an angle \( \frac{\pi}{3} \) with the positive \( x \)-axis and \( |\vec{v}|=4 \), find \( \vec{v} \) in component form.
6. If a child pulls a sled through the snow on a level path with a force of 50 N exerted at an angle of \( 38^{\circ} \) above the horizontal, find the horizontal and vertical components of the force.
7. A goalkeeper throws a football with angle of elevation \( 40^{\circ} \) and speed \( 60 \mathrm{ft} / \mathrm{s} \). Find the horizontal and vertical components of the velocity vector.