Ques. 1JEE Main 2024, 27 January (Morning Shift)
Position of an ant (S in metres) moving in Y-Z plane is given by S=2t2 j+5 k (where t is in second). The magnitude and direction of velocity of the ant at t=1 s will be :
- 16 m/s in y-direction
- 4 m/s in x-direction
- 9 m/s in z-direction
- 4 m/s in y-direction
Answer
(4) 4 m/s in y-direction
Solution
v= d Sdt= ddt (2t2 j+5 k )=4t j
the z-coordinate (5 m) is constant, there is no velocity along z.
At t=1 s: v=4 j m/s
4 m/s in y-direction
Answer: (4)