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Vectors

New kid on the Block

 Joined: 5 May 2012 Post: 6
30 May 2012 23:16:17 IST
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vectors
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Vectors

A particle starts from origin at t=0 with a velocity 5i m/s and moves in x-y plane under action of a force ? which produces a constant acceleration of (3i+2j)m/s2.The y coordinate particle, when its x coordinate is 84m is

Blazing goIITian

Joined: 18 Jan 2007
Posts: 600
16 Jun 2012 03:29:32 IST
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Apply s = ut + 0.5at^2

Which reduces to S = 0.5 at^2 (Since u =0)

So for any time t, s/a would be constant.

Now equating s/a for both X & Y axis.

84/3 = y/2

So y = 56

Blazing goIITian

Joined: 18 Jan 2007
Posts: 600
16 Jun 2012 03:41:43 IST
0 people liked this

Apply s = ut + 0.5at^2

In X-axis (s = 84, u=5, a=3), Putting Value in the above equation we get t = 6, -9.3(Ignoring since time cant be -ve)

in Y-axis

s = 0.5 a t^2 (Since u =0)

s = 0.5 * 2 * (6^2)

s = 36 m

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