JEE Main202427 Jan 2024Morning ShiftPhysicsMotion in One DimensionActual
Position of an ant ( S in metres) moving in Y - Z plane is given by S = 2 t 2 j ^ + 5 k ^ (where t is in second). The magnitude and direction of velocity of the ant at t = 1 s will be :
Options
- A16 m s - 1 in y-direction
- B4 m s - 1 in x -direction
- C9 m s - 1 in z-direction
- D4 m s - 1 in y -direction
Correct answer
D. 4 m s - 1 in y -direction
Step-by-step solution
The velocity of the ant can be found as follows: v → = d S → d t = d d t 2 t 2 j ^ + 5 k ^ = 4 t j ^ . . . 1 At t = 1 s , from equation (1), it follows that v → = 4 j ^