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Grade 9Mechanics

The displacement x of a particle along a straight line at time t is given by x = a0 + a1 t+a2t2. The acceleration of the particle is (a) a0 (b) a1 (c) 2a2 (d) a2

Profile image of Shivam Bhagat
15 Years agoGrade 9
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2 Answers

Profile image of vikas askiitian expert
15 Years ago

we know , v = dx/dt

             a = dv/dt

    x = ao + a1t + a2t2

v= dx/dt =  0 + a1 + 2a2t

a=dv/dt = d/dt (a1+2a2t)

            =0+2a2 

differntiation of constant is 0...

so accleration of particle = 2a2

option c is correct

Profile image of Vamsi Krishna Gedela
15 Years ago

x=a0+a1t +a2t2

accn=d2x/dt2=a2