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(b)     The maximum height is given by   :                                                                        And,     the horizontal range is given by  :                                                                       Dividing both, we get :                                                                      Hence                                                           
Using the equation of motion in both horizontal and vertical direction.                                                   and         Now,                                                                                   or                                                              Thus,                                              
Speed of cycle =   27 Km/h  =  7.5 m/s The situation is shown in figure :-                                 The centripetal acceleration is given by :                                                                                                                                                     And the tangential acceleration is given as  . So, the net acceleration becomes :                  ...
According to the question the situation is shown below:-                                               Now,  The horizontal distance travelled by the shell  =  Distance travelled by plane or                                          or                                               or                                                              So,                                                 ...
The range of bullet is given to be:-       R = 3 Km.                                                            or                                                        or                                                         Now, we will find the maximum range (maximum range occurs when the angle of projection is 450).                                                              or         ...
No,vector cannot be associated with sphere as direction cannot be associated with sphere any how.
(b) The plane area can be expressed in vector form as direction can be associated as pointing outward or inward (normal to the plane) of the area.
No, the length of a wire bent into a loop cannot be expressed in vector form as we have no direction associated with it.
The main condition for a physical quantity to be a vector is that it should the law of vector addition. Also, the vector has both direction and, magnitude but these are not sufficient condition. For e.g. current has both magnitude and direction but is a scalar quantity as it doesn't follow the law of vector addition. Rotation is not a vector on a large basis, as it is measured by an angle which...
No, a vector doesn't have a definite location as a vector can be shifted in a plane by maintaining its magnitude and direction. Vector can change with time for e.g. displacement vector. No, two equal vectors at a different location may not have identical physical effects. For e.g., two equal force vectors at a different location may have different torque but when they are applied together the...
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