Physics, asked by kunal4jain, 11 months ago

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Answered by Anonymous
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 \huge \boxed {\textt {\fcolorbox{Answer ={ [{(v^2/r)}^2 +{a}^{2}]^{1/2} } }}}

The instantaneous acceleration Ar pointing towards the center of the circle is called Radial acceleration. The radial component causes a change in direction and its magnitude is given by \huge {Ar}={v}^{2} /{r}

where r is the radius of curvature at the point in question.

The tangential component causes a change in speed and its magnitude is given by At = dv/dt = a m/sec2 (given)

The tangential acceleration of the car has a constant magnitude of At = A m/sec2

The components Ar and At are perpendicular to each other and the magnitude of a is given by

resultant acceleration.

\huge {A}^2={At}^{2}+ {Ar}^{2}\\\\ Resultant Acceleration =[ {A}^{2}+({v}^{2} /r)^{2}] ^ {1/2} \\\\<br />=[ {A}^{2}+({v}^{4}/{r}^{2}) ]^{1/2}
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