For the projectile shown in figure, the time of flight and range along the inclined plane is: (g=10 m/s2)
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a
Range of the projectile along the inclined plane is 145.71mThe time of flight of the projectile along the inclined plane is 1.69s
b
Range of the projectile along the inclined plane is 145.71mThe time of flight of the projectile along the inclined plane is 6.31s
c
Range of the projectile along the inclined plane is 145.71mThe time of flight of the projectile along the inclined plane is 63.1s
d
Range of the projectile along the inclined plane is 129mThe time of flight of the projectile along the inclined plane is 63.1s
answer is B.
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Detailed Solution
time of flight=T=2usinα+βgcosβ T=(2)(202)sin(450+300)(10)cos300 T=(2)(202)sin(750)(10)32=8×1.414×0.963=6.31s range=R=u2gcos2βsin2α+β+sinβ R =(202)2[sin(2×450+300)+sin300](10)cos2300=145.71m