kinematics

1. The co-ordinate of a moving particle in x-y plane at any time "t" are
(2t,t²)

find the velocity of the particle and the acceleration of the particle?

2. After what time the particle will acquire initial velocity from the given fig?

please give detailed solution...

2 Answers

it'll be better if u post wat u hav done so that we can see where u r wrong...

for the second one

it must b after extra time 'x'=âˆš12â‰ˆ3.4641
t=2+âˆš3â‰ˆ5.4641

for the first one take unit vectors along x and y [i(cap)]&[j(cap)]

displacement s=2t[i(cap)]+t²[j(cap)]

velocity v=dsdt=2[i(cap)]+2t[j(cap)]

acceleration a=2[j(cap)]

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