Projectile question (Doubt) - Must try

A projectile is fired at t=0 with velocity v = 20√2 m/s at an angle of 45° degrees as shown. A wall inclined at the same angle and at a distance of 40 m starts moving towards the projectile at the same time (ie., t=0) with a speed of 20m/s. Find the time at which the ball collides with the the wall.

7 Answers

1057
Ketan Chandak ·

is it 22+1 secs?

71
Vivek @ Born this Way ·

Can't tell for sure. I don't have the answer. I had a similar answer. Do post your solution.

Edit: I'm getting 2(√3-1) s. Strikingly this is very similar to yours i.e, 2(√2-1) s. Either I missed something or you!

21
Swaraj Dalmia ·

Let the pt. of impact be at a distance x from base of incline.
Therefore height of pt. of impact=x

Now solve for t,
x=20t-g/2*t2
(40+x)40=t

We get t=2(√3-1)(ans)

262
Aditya Bhutra ·

i agree with swaraj's answer.

just the application of relative velocity.

relative vel. of projectile w.r.t incline at t=0 is 40i + 20j

71
Vivek @ Born this Way ·

The problem is that this question is from FIITJEE paper and the options that the y have given are like 1,2,3 or 4 sec? Nothing in roots>>

So, from the discussion above, the options are wrong.

1
Debayan Singha ·

insufficient data.. the height can be detected in no way..

71
Vivek @ Born this Way ·

We don't have to determine height?

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