A particle  is moving with initial velocity 40m/s along positive X-axis. Acceleration is -10m/s2. It starts from x =10 m. Find out maximum co-ordinate of particle in positive direction. (a) 90 m (b) 0 m (c) 120 m (d) 30 m.

Here,u=40m/s,For the maximum coordinate,v=0 and a=-

Now,by using

Since the particle starts from x=10m,so the maximum distance or coordinate from the origin=80+10=90m

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its (a) 90m,

let the distance from the

origin at which the particle stops be 'x'.

u=40,v=0,s=(x-10),a=-10

using 3rd eqn.of motion,

v2=u2+2as

02=40*40-2*10*(x-10)

1600=20x-200

1800=20x

x=90m

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