JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-30
question_answer
If acceleration and velocity of a particle are \[5\,m{{s}^{-2}}\hat{j}\] and \[3\hat{i}+4\hat{j}\,\,m{{s}^{-1}}\] respectively then centripetal acceleration and radius of current are at that point of the path where particle is present will be :
A) \[3\,m{{s}^{-2}},\frac{3}{25}m\]
B)\[4m{{s}^{-2}},\frac{4}{25}m\]
C)\[5m{{s}^{-2}},\frac{1}{25}m\]
D) None
Correct Answer:
A
Solution :
Velocity is always directed along the tangent of its path hence component of acceleration along velocity is tangential acceleration and perpendicular to it is radial or centripetal acceleration. \[{{a}_{c}}=a\sin 37{}^\circ =5\times \frac{3}{5}=3=\frac{{{v}^{2}}}{r}\Rightarrow t=\frac{3}{25}\]