As per right hand thumb rule if we put our thumb of right hand along the current in the wire then curl of fingers will show the direction of magnetic field.
So here as we can see the fingers in the above case is curled such that in front position its showing towards right.
So the direction of magnetic field near the student in front position must be towards Right.
An object in circular motion has velocity that is constantly changing.
The direction of the acceleration is from the object toward the center of the circular path the object is following.
Answer:
The velocity 
of the cart with respect to the ground is
if we consider North the positive y-direction and East the positive x-direction.
Explanation:
We have for relative motion the following expression:
Where is the velocity of the cart with respect to the ground, 
is the velocity of the cart with respect to the plane and 
is the velocity of the plane with respect to the ground.
We find that:
Thus:
