Question

The two particles will collide after time t $=$____ s

• A. 1
• B. 2
• C. 4
• D. none of these

Answer 1

The correct option is D none of these

The two particles will collide when (x,t) is same for both.
Thus,
$\left(4\cos t\right)m=(8+3\sin t)m4\cos t=8+3\sin t4\cos t-3\sin t=85(\frac{4}{5}\cos t-\frac{3}{5}\sin t)=8If,\cos A=\frac{4}{5},\sin A=\frac{3}{5}5\cos (x+A)=8\cos (x+A)=1.6$
which is not possible.

Hence, none of these.