In one dimensional motion position of a particle from a fixed point is (say$$ P $$) is $$+2m$$ at time $$t=0$$ and the particle is at P at $$t=10$$ s. If velocity of particle is zero at $$t=6$$ s, determine the constant acceleration a and velocity at $$t=10$$ s.

Question

In one dimensional motion position of a particle from a fixed point is (say$$ P $$) is $$+2m$$ at time $$t=0$$ and the particle is at P at $$t=10$$ s. If velocity of particle is zero at $$t=6$$ s, determine the constant acceleration a and velocity at $$t=10$$ s.

Infinity Learn · Accepted Answer

$$s=s0+ut+12at2$$ at $$t=0$$,$$s=s0=2$$ m    $$----(i)$$  at $$t=10$$ s $$s=0=s0+ut+12at2$$ $$0=2+10u+50a$$ $$10u+50a=-2$$ $$v=u+a$$ t  $$----(ii)$$ $$0=u+6a$$ $$u+6a=0$$  $$----(iii)$$ Solving Eqs. (ii) and (iii), we get $$u=-1.2$$ $$m/s$$ and  $$a=0.2$$ $$m/s2$$ Now, $$v=u+at$$ $$v=(-1.2)+(0.2)(10)$$ $$=0.8m/s$$

In one dimensional motion position of a particle from a fixed point is (say $P$ ) is $+ 2 m$ at time $t = 0$ and the particle is at $P$ at $t = 10 s$ . If velocity of particle is zero at $t = 6 s$ , determine the constant acceleration $a$ and velocity at $t = 10 s$ .

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

In one dimensional motion position of a particle from a fixed point is (say P ) is +2m at time t=0 and the particle is at P at t=10 s. If velocity of particle is zero at t=6 s, determine the constant acceleration a and velocity at t=10 s.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

In one dimensional motion position of a particle from a fixed point is (say $P$ ) is $+ 2 m$ at time $t = 0$ and the particle is at $P$ at $t = 10 s$ . If velocity of particle is zero at $t = 6 s$ , determine the constant acceleration $a$ and velocity at $t = 10 s$ .