The x and y coordinates of a particle at any time t are given by and y = 5t, where x and y are in metre and t in seconds. The acceleration of particle at t = 5s is
(2) 8 m/s2
(3) 20 m/s2
(4) 40 m/s2
A particle is moving eastwards with velocity of 5 m/s. In 10 sec the velocity changes to 5 m/s northwards. The average acceleration in this time is
(2) toward north-west
(3) toward north-east
(4) toward north-west
A particle moves towards east with velocity 5 m/s. After 10 seconds its direction changes towards north with same velocity. The average acceleration of the particle is
The x and y coordinates of the particle at any time are x=5t-2 and y=10t respectively, where x and y are in the metres and t in seconds. The acceleration of the particle at t=2s is
A particle moves so that its position vector is given by r=cosωt ^x+sinωt ^y where w is a constant. Which of the following is true?
(a) Velocity and acceleration both are parallel to r.
(b) Velocity is perpendicular to r and acceleration is directed towards to origin.
(c) Velocity is not perpendicular to r and acceleration is directed away from the origin.
(d) Velocity and acceleration both are perpendicular to r.