When the displacement of a body is directly proportional to the square of the time then the body is moving with uniform acceleration assertion reason?

Assertion          : A body can have acceleration even if its velocity is zero at a given instant of time. Reason            :           A body is momentarily at rest when it reverses its direction of motion.           

Assertion          :           Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed.             Reason            :   The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.              

            Assertion          :           If the displacement of the body is zero, the distance covered by it may not be zero. Reason            :           Displacement is a vector quantity and distance is a scalar quantity.

Assertion          :           The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. Reason            :           Velocity is a vector quantity and speed is a scalar quantity.

Assertion          :           An object can have constant speed but variable velocity. Reason            :           Speed is a scalar but velocity is a vector quantity.

Assertion          :           The speed of a body can be negative. Reason            :           If the body is moving in the opposite direction of positive motion, then its speed is negative.

Assertion          :           The position-time graph of a uniform motion in one dimension of a body can have negative slope. Reason            :           When the speed of body decreases with time, the position-time graph of the moving body has negative slope.

Assertion          :           A positive acceleration of a body can be associated with a ?slowing down? of the body. Reason            :           Acceleration is a vector quantity.

Assertion          :           A negative acceleration of a body can be associated with a ?speeding up? of the body. Reason            :           Increase in speed of a moving body is independent of its direction of motion.

Assertion          :           When a body is subjected to a uniform acceleration, it always move in a straight line. Reason            :           Straight line motion is the natural tendency of the body.

Assertion          :           Rocket in flight is not an illustration of projectile. Reason            :           Rocket takes flight due to combustion of fuel and does not move under the gravity effect alone.

Assertion          :           The average speed of a body over a given interval of time is equal to the average velocity of the body in the same interval of time if a body moves in a straight line in one direction. Reason            :           Because in this case distance travelled by a body is equal to the displacement of the body.

Assertion          :           Position-time graph of a stationary object is a straight line parallel to time axis. Reason            :           For a stationary object, position does not change with time.

Assertion          :           The slope of displacement-time graph of a body moving with high velocity is steeper than the slope of displacement-time graph of a body with low velocity. Reason            :           Slope of displacement-time graph = Velocity of the body.

Assertion          :           Distance-time graph of the motion of a body having uniformly accelerated motion is a straight line inclined to the time axis. Reason            :           Distance travelled by a body having uniformly accelerated motion is directly proportional to the square of the time taken.

Assertion          :           A body having non-zero acceleration can have a constant velocity. Reason            :           Acceleration is the rate of change of velocity.

Assertion          :           A body, whatever its motion is always at rest in a frame of reference which is fixed to the body itself. Reason            :           The relative velocity of a body with respect to itself is zero.

Assertion          :           Displacement of a body may be zero when distance travelled by it is not zero. Reason            :           The displacement is the longest distance between initial and final position.

Assertion          :           The equation of motion can be applied only if acceleration is along the direction of velocity and is constant. Reason            :           If the acceleration of a body is constant then its motion is known as uniform motion.

Assertion          :           A bus moving due north takes a turn and starts moving towards east with same speed. There will be no change in the velocity of bus. Reason            :           Velocity is a vector-quantity.

Assertion          :           The relative velocity between any two bodies moving in opposite direction is equal to sum of the velocities of two bodies. Reason            :           Sometimes relative velocity between two bodies is equal to difference in velocities of the two.

Assertion          :           The displacement-time graph of a body moving with uniform acceleration is a straight line. Reason            :           The displacement is proportional to time for uniformly accelerated motion.

Assertion          :           Velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to the time axis. Reason            :           In uniform motion of an object velocity increases as the square of time elapsed.

Assertion          :           A body may be accelerated even when it is moving uniformly. Reason            :           When direction of motion of the body is changing then body may have acceleration.

Assertion          :           A body falling freely may do so with constant velocity. Reason            :           The body falls freely, when acceleration of a body is equal to acceleration due to gravity.

Assertion          :           Displacement of a body is vector sum of the area under velocity-time graph. Reason            :           Displacement is a vector quantity.

Assertion          :           The position-time graph of a body moving uniformly is a straight line parallel to position-axis. Reason            :           The slope of position-time graph in a uniform motion gives the velocity of an object.

Assertion          :           The average speed of an object may be equal to arithmetic mean of individual speed. Reason            :           Average speed is equal to total distance travelled per total time taken.

Assertion          :           The average and instantaneous velocities have same value in a uniform motion. Reason            :           In uniform motion, the velocity of an object increases uniformly.

Assertion          :           The speedometer of an automobile measure the average speed of the automobile. Reason            :           Average velocity is equal to total displacement per total time taken.