Question

in order for an object to speed up, the direction of the force is
in any direction
in the opposite direction of the objects motion
in the same direction as the objects motion
no answer text provided.

Explanation:

According to Newton's second law \(F = ma\). Acceleration \(a=\frac{\Delta v}{\Delta t}\). When an object speeds up, \(\Delta v> 0\), so \(a>0\). The direction of acceleration is the same as the direction of the net force. If the force is in the same direction as the object's motion, it will cause a positive acceleration (speeding up). If the force is in the opposite direction, it will cause deceleration (\(a < 0\)). Force in any direction is too general as only the component along the motion direction affects the speeding - up (in 2D/3D cases, but in 1D motion, the key is same or opposite).

Answer:

in the SAME direction as the object's motion