Motion in a Pla...

The basic difference between a scalar and vector is one of

Which is a constant for a freely falling object?

Which of the following statements not true?

When a ball is thrown upwards, as it rises, the vertical component of its velocity

Vectors can be added by

Vectors can be added by

The path of a projectile is 

The reason why cyclists bank when taking a sharp turn is

Magnitude of displacement of a particle is

Vectors can be added by

A motorcycle stunt rider rides off the edge of a cliff. Just at the edge his velocity is horizontal, with magnitude 9.0 m/s. Find the magnitude of the motorcycle’s position vector after 0.50s it leaves the edge of the cliff.

Two vectors are equal if

Which of the following physical quantities a vector?

A sports car has a “lateral acceleration” of 0.96g = 9.4 m ^s−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?

A cyclist moves along a circular path of radius 70m. If he completes one round in 11s, calculate total length of path.

Which of the following physical quantities a scalar?

In a harbor, wind is blowing at the speed of 72 km/h and the flag on the mast of a boat anchored in the harbor flutters along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?

Vector addition is

Which of the following algebraic operations on vectors not permissible?

A man can swim with a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily at 3.0 km/h and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank?

The addition of vectors and the multiplication of a vector by a scalar together gives rise to

Which of the following statements false?

Rain is falling vertically with a speed of 30 m ^s−1. A woman rides a bicycle with a speed of 10 m s⁻¹ in the north to south direction. What is the direction in which she should hold her umbrella?

Null vector or a zero vector has a magnitude

A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest cabman takes him along a circuitous path 23 km long and reaches the hotel in 28 min. What is (a) the average speed of the taxi, (b) the magnitude of average velocity?

A projectile is fired a velocity of 150 meters per second at an angle of 30 degrees with the horizontal. What is the magnitude of the vertical component of the velocity at the time the projectile is fired?

Which of the following physical quantities a vector?

We can define the difference of two vectors A and B as the

Three girls skating on a circular ice ground of radius 200 m start from a point P on the edge of the ground and reach a point Q diametrically opposite to P following different paths as shown in Figure. What is the magnitude of the displacement vector for each ? For which girl is this equal to the actual length of path skate ?

Which of the following physical quantities a scalar?