A particle is projected along an inclined plane as shown in figureg=10m/s2
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a
The speed of the particle when it collides at point A is 10 m/sec
b
The speed of the particle when it collides at point A is 20 m/sec
c
The speed of the particle when it collides at point A is 105m/sec
d
The speed of the particle when it collides at point A is 103m/sec
answer is D.
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Detailed Solution
According the motion of projectile on inclined planeinitial velocity along x axis (Incline plane)=ux=ucos(α−β); acceleration along x axis =ax=−gsinβ;initial velocity along y axisuy=usin(α−β); acceleration along y axis=ay=−gcosβα=60∘;β=30∘;α-β=600-30∘=30∘ux=10cos30=10×32=53m/sec, ax=-10sin30=-5m/suy=10sin30=10×12=5m/sec ay=10cos30=−10×32=−53m/sec2 Time to reach from point 0 to point A is time of flight on the inclined planeT=2usin(α−β)gcosβT=2×10sin30∘10×cos30∘ T=23Vx at A=ux+axT=53−5×23=53−103=53m/secVy at A=uy+ayT=5−53×23=−5m/sec∣V→∣ at A=Vx2+Vy2=253+25=1003=103m/sec