The displacement x of a particle varies with time according to the relation x=\(\frac { a }{ b } \)(1-e^-bt). Then

The displacement of an object at any instant is given by x = 30 + 20 t², where x is in metres and t in seconds. The acceleration of the object will be

Which of the following is not a vector quantity?

When the distance travelled by a body is directly proportional to the time, the body is said to have a

In case of a moving body

What is the condition for an object to be considered as a point object?

Can a tumbling beaker that has slipped off the edge of a table considered as a point object?

Does the displacement of an object depend on the choice of the postion of origin of the coordinate system?

For which condition, the distance and the magnitude of displacement of an object have the same values?

Position-time graph could have negative slope Is it true or false?

For what condiion, an object could be considered as a point object? Describe in brief

The displacement o a particle is given by at². What is the dependency of accleration on time?

What is the shape of displacement-time graph for uniform linear motion?

Write the expression for distance covered in nth second by a uniformly accelerated body.

Under what condition will the distance and displacement of a moving object will have the same magnitude?

What are the velocity and accelration of the ball at the highest point of its motion?

Choose x=0 and t=0 be the location and time at its highest point, vertically downward direction to be the positive direction of x-axis and give the signs of position, velocity and acceleration of the ball during its upward and downward motion.

To what height does the ball rise and after how long does the ball return to the player's hands?(Take g = 9.8ms^-2 and neglect air resistance)

The velocity of a particle is given by equation v = 4 + 2 (c₁ + c₂ t), where c₁and c₂ are constant. Find the initial velocity and acceleration of the particle.

Two trains of lengths 109 m and 91m are moving in opposite directions with velocities 34 km h^-1 and 38 kmh^-1 respectively. In what time the two trains will completely cross each other? Choose the most logical reference point for time measurement.

In which of the following examples of motion, can be the body be considered approximately a point object?
A monkey sitting on the top of a man cycling smoothly on a circular track.

Two parallel rail tracks run North-South.Train A moves North with a speed of 54 kmh^-1. and train B moves South with a speed of 90 kmh^-1 . What is the velocity of monkey on the roof of the train A against its motion (with a velocity of 18 kmh^-1 with respect to train A) as observed by a man standing on the ground?

State the kinematic equations for uniformly accelerated motion.