particle starts from the origin at t = s with a velocity of . j ɵ m/s and moves in the x-y plane with a constant acceleration of ( . . m s - .
(a) At what time is the x - coordinate of the particle m? What is the y -coordinate of the particle at that time? (b) What is the speed of the particle at the time ? .
ɵ i and ɵ j are unit vectors along x - and y - axis respectively. What is the magnitude and direction of the vectors ɵ + , and ɵ − ? What are the components of a vector A = ɵ + along the directions of ɵ + and ɵ − ? [You may use graphical method] .
For any arbitrary motion in space, which of the following relations are true : (a) v average = ( / ) ( v ( t ) + v ( t )) (b) v average = [ r ( t ) - r ( t ) ] /( t – t ) (c) v ( t ) = v ( ) + a t (d) r ( t ) = r ( ) + v ( ) t + ( / ) a t (e) a average =[ v ( t ) - v ( t )] /( t – t ) (The ‘average’ stands for average of the quantity over the time interval t to t ) . Read each statement below carefully and state, with reasons and examples, if it is true or false : A scalar quantity is one that (a) is conserved in a process (b) can never take negative values (c) must be dimensionless (d) does not vary from one point to another in space (e) has the same value for observers with different orientations of axes. . An aircraft is flying at a height of m above the ground.
If the angle subtended at a ground observation point by the aircraft positions .