Motion in a Pla...

Two balls are projected simultaneously with the same speed from the top of a tower, one vertically upwards and the other vertically downwards. They reach the ground in 9 s and 4 s, respectively. What is the height of the tower?
(g = 10 m/s²)

The motion of the wheel of a cycle is

It is found that (range)² is 48 times the (maximum height)² for a trajectory. Find the angle of projection.

The displacement x of a particle varies with time t as , where a, b, α and β are positive constants. The velocity of the particle will

An arbitrary vector v can be expressed as

Directions: The following question has four choices out of which ONLY ONE is correct.

What type of path is followed by a projectile?

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

The friction of air causes a vertical retardation equal to the 10% of the acceleration due to gravity. The maximum height will be decreased by (take g = 10 ms^-2)

A bomber plane is moving horizontally with a speed of 500 m/s and a bomb released from it strikes the ground in 10 seconds. The angle with the horizontal at which the bomb strikes the ground is (g = 10 m/s²)

If and  , then the angle made by ( + ) with x-axis is

If a ball is thrown vertically upwards with speed 'u', then the distance covered during the last 't' seconds of its ascent is

The angle of projection θ for which the horizontal range is equal to the maximum height attained by a projectile is

Directions: The following question has four choices out of which ONLY ONE is correct.

Force of 100 N makes an angle of 30° with the horizontal. The vertical component of the force will be

Directions: The following question has four choices out of which ONLY ONE is correct.

For the angles of projection of a projectile as (45^o - θ) and (45^o + θ), the horizontal ranges described by the projectile are in the ratio

Directions: The following question has four choices, out of which ONLY ONE is correct.

A projectile can have the same range R for two angles of projection. If t₁ and t₂ be the time periods of the flights in two cases, what is the product of the two time periods of the flights proportional to?

If  and  are non-zero vectors which obey the relation , then the angle between them is

If a particle is projected with a velocity 'u' so that its horizontal range is twice the greatest height attained, then what is the horizontal range?

A unit vector is a vector