`vecF_1` acts due east and `vecF_2` acts `60^@` north of east. Both have equal magnitude 40N each. What is the magnitude and direction of `vecF_1+vecF_2` ?

A car is travelling towards east at 10m*s^(-1) . It takes 10s to change its direction of motion to north and continues with the same magnitude of velocity. Find the magnitude and direction of the average acceleration of the car.

Three charges are placed in vacuum on a horizontal plane. The magnitude of charge q_(1) is +8 esu. Charge q_(2) is situated north of q_(1) at a distance of 5 cm an its magnitude is +12.5 esu. Charge q_(3) is at the east of q_(1) at a distance of 8 cm and its magnitude is -24 esu. Determine the magnitude and direction of the force acting on the charge q_(1)~

The position of a particle is given by, vecr = (3.0t hati -2.0t^2 hatj + 4.0 hatk)m where t is in seconds and the coefficients have the proper units for r to be in metres. What is the magnitude and direction of velocity of the particle at t = 2.0 s ?