JEE Main202117 Mar 2021Evening ShiftPhysicsMotion in One DimensionActual
The velocity of a particle is v = v 0 + g t + F t 2 m s - 1 . Its position is x = 0 at t = 0 ; then its displacement after time ( t = 1 s ) is :
Options
- Av 0 + g + F
- Bv 0 + g 2 + F 3
- Cv 0 + g 2 + F
- Dv 0 + 2 g + 3 F
Correct answer
B. v 0 + g 2 + F 3
Step-by-step solution
v = v 0 + g t + F t 2 d s d t = v 0 + g t + F t 2 ∫ d s = ∫ 0 1 v 0 + g t + F t 2 d t s = v 0 t + g t 2 2 + F t 3 3 0 1 s = v 0 + g 2 + F 3