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Grade 11Mechanics

A particle moves along the parabolic path Y equal to ax2 in such a way that the X component of the velocity remains constant say c. The acceleration of the particle is
1. ackcap
2. 2ac2jcap
3.2ac2kcap
4.a2cjcap

Profile image of Rankush
7 Years agoGrade 11
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1 Answer

Profile image of Khimraj
ApprovedApproved Tutor Answer7 Years ago
acceleration  = ax\hat{i} + ay\hat{j}
= (dvx/dt)\hat{i} + (dvy/dt)\hat{j}
 = (dc/dt)\hat{i} + (d2y/dt2)\hat{j}
= 0 + d/dt[2ax(dx/dt)]\hat{j}
= d/dt[2acx]\hat{j}
= 2ac2 \hat{j}
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