The coordinates of a particle moving in a plane are given by x ( t ) = a cos( pt ) and y…
Physics · JEE Advanced · NTA Exams — Kinematics
The coordinates of a particle moving in a plane are given by x(t) = a cos(pt) and y(t) = b sin(pt) where a, b (< a) and p are positive constants of appropriate dimensions. Then
- the path of the particle is an ellipse
- the velocity and acceleration of the particle are normal to each other at t =
- the acceleration of the particle is always directed towards a focus
- the distance travelled by the particle in time interval t = 0 to t =
Answer
(A) the path of the particle is an ellipse
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same…
- For non zero vectors a , b , c , |( a b ) c |=| a || b || c | holds if and only if
- A particle is moving along X–axis whose acceleration is given by a = 3x – 4, where x is the location of the…
- A river is flowing from West to East at a speed of 5 metres per minute. A man on the south bank of the river…
- A particle travels 10m in first 5 sec and 10m in next 3 sec. Assuming constant acceleration what is the…
- Let a = i +2 j + k , b = i - j + k ext and c = i + j - k A vector in the plane of a ext and b whose…
- A small but heavy block of mass 10 kg is attached to a wire 0.3m long. Its breaking stress is 4.8 × 10 7 N/m…
- Look at the graphs (a) to (d) carefully and indicate which of these possible represents one dimensional…