a) u2/x
b) uv/x
c) v2/x
d) (u2 + v2)/x
Answer: b) uv/x
Solution:
The velocity of cat = v
Speed of dog = u
Let the velocity of the dog be u1 and after some time its velocity is u2
By applying vector properties we get
vdθ = u2 -u1 ——(1)
\(\begin{array}{l}\vec{a}=\frac{\vec{u_{2}}-\vec{u_{1}}}{dt}\end{array} \)
From equation (1)
\(\begin{array}{l}\vec{a}=\frac{vd\theta }{dt}\end{array} \)
When dθ is very small then dθ = Arc length/radius
dθ = udt/x
\(\begin{array}{l}\vec{a}=\frac{vudt }{xdt}\end{array} \)
a = uv/x
