A rock is launched upward at ${45}^{\circ }$. A bee moves along the trajectory of the rock at a constant speed equal to the initial speed of the rock. What is the magnitude of acceleration (in $m/s^2$) of the bee at the top point of the trajectory? For the rock, neglect the air resistance.

A rock is launched upward at ${45}^{\circ }$.A bee moves along the trajectory of the rock at a constant speed equal to the initial speed of the rock.The magnitude of acceleration of the bee at the top point of the trajectory is $xg$?For the rock, neglect the air resistance.Find the value of $x$.

A rock is launched upward at ${45}^{\circ }$. A bee moves along the trajectory of the rock. What is the magnitude of acceleration $\left(\text{in}m{s}^{-2}\right)$ of the bee at the top point of the trajectory ? For the rock, neglect the air resistance.

A stone is launched upward at ${45}^{\circ }$ with speed $v_0$. A bee follow the trajectory of the stone at a constant speed equal to the initial speed of the stone.
(a) Find the radius of curvature at the top point of the trajectory.
(b) What is the acceleration of the bee at the top point of the trajectory? For the stone, neglect the air resistance.

A rock is launched upward at ${45}^{\circ }$. A bee moves along the trajectory of the rock at a constant speed equal to the initial speed of the rock. What is the magnitude of acceleration (in $m/s^2$) of the bee at the top point of the trajectory? For the rock, neglect the air resistance.

A particle moves along the trajectory of parabola $y=a{x}^2$. Assuming speed to be constant, find the radius of curvature at the origin.

A particle moves with a costant speed u along the curve y = sin x. The magnitude of its acceleration at the point corresponding to x=$\pi /2$ is

A rock, dropped from rest near the surface of an atmosphere-free planet, attains a speed of 20.0 m/s after falling 8.0 m.
What is the magnitude of the acceleration due to gravity on the surface of this planet ?

A particle moves in a circle of radius $R=\frac{21}{22}m$ with constant speed $1m/s.$ Find,
(a) magnitude of average velocity and
(b) magnitude of average acceleration in 2 s.

Two bodies are moving with constant speed $v$ clockwise and are initially diagonally opposite. The particle B now acheives a tangential acceleration of a $m/s^2$. Then :

A body moves from rest with a constant acceleration of $5m/s^2$. Its instantaneous speed (in m/s) at the end of 10 sec is