Grade 11Mechanics
prove(mathematically) that path of a projectile as seen from another projrctile is a straight line
prove(mathematically) that path of a projectile as seen from another projrctile is a straight line
1 Answer
AKSHANSH PAREEK
The acceleration of both the projectiles is g.
So the relative acceleration between the projectiles is zero. That means their relative velocity is not changing. So even the direction is not changing changing(because relative acc. is zero).
the path will be a straight line
So the relative acceleration between the projectiles is zero. That means their relative velocity is not changing. So even the direction is not changing changing(because relative acc. is zero).
the path will be a straight line
or(mathematically)
eq of path of projectile is s=ucos@ -gt2/2
if two projectiles are projected from horizontal ground with different initial velocity and angle....both these quantities are known then at any time t
coordinates of A, S1=(UacosA)t i - gt2/2 j
coordinates of B, S2=(UbcosB)t i - gt2/2j
coordinates of A wrt to B is S2-S1=t(UacosA-UbcosB)i + 0 j
Xi + Yj = kt i + 0j (UacosA-UbcosB = constant=k)
ie X=kt is a straight line
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