We can order events in time and there is no sense of time, distinguishing past, present and future. Is time a vector?

2

(a)

The angle between vector A and B is 60⁰  .What is the ratio of A.B and \(\left| A\times B \right| \) ?

2

(a)

A person sitting in a running train throws a ball vertically upwards. What is the nature of the path described by the ball to a person?
(i) Sitting inside the train
(ii) Standing on the ground outside the train

2

(a)

A railway carriage moves over a straight track with acceleration a. A passenger in the carriage drops a stone. What is the acceleration of the stone w.r.t. the carriage and the earth?

2

(a)

How does the knowledge of projectile help, a player in the baseball game?

2

(a)

A cricket can throw a ball to a maximum horizontal distance of 100 m. With the same speed, how high above the ground can the cricketer throw the same ball?
Horizontal range is maximum when angle of projection is 45^o .

2

(a)

Can three non-coplanar vectors give zero resultant? Why

2

(a)

Under what condition is the magnitude of slim of two vectors minimum?

2

(a)

Two bodies are projected at an angle \(\theta \) and to the(90⁰-\(\theta \)) to the horizontal with same speed. Find the ratio of their time of flight.

2

(a)

What is the maximum vertical height to which a baseball player can throw a ball if he can throw it to a maximum horizontal distance of 100 m?

2

(a)

Can a vector be zero if one of its components is non-zero?

2

(a)

Is the maximum height attained by projectile largest when its horizontal range is maximum?

2

(a)