Explanation

The only change in velocity due to gravity acts vertically downwards. This change is independent of the initial velocity and angle of projection and is given by the acceleration due to gravity g multiplied by time t.

Explanation

Speed is scalar quantity and velocity are vector quantity. Speed has no direction so it will not determine the path followed by the particle. But in case of velocity it has a direction but it will also not determine the path followed by the particle because the body comes up in motion whenever some forces are applied.

If we change the direction of the path, we need to apply some forces and forces are directly proportional to the acceleration.

Explanation

Bullet will take s=vt=> t=s/v $\frac{\mathrm{100/}}{1000}=0.1$sec to reach target

During this period vertical distance (downward) travelled by the bullet

So the gun should be aimed 5 cm above the target.

Explanation

Angular momentum is a axial vector. It is directed always in a fix direction (perpendicular to the plane of rotation either outward or inward), if the sense of rotation remain same.

Explanation

Due to constant velocity along horizontal and vertical downward force of gravity stone will hit the ground following parabolic path

Explanation

Due to air resistance, it’s horizontal velocity will decrease so it will fall behind the aeroplane.

Explanation

. If initial velocity be doubled then range will become four times.

Explanation

An external force by gravity is present throughout the motion so momentum will not be conserved.

Explanation

Explanation

Explanation

Acceleration through out the projectile motion remains constant and equal to g

Explanation

Explanation

It is clear that range is proportional to the direction (angle) and the initial speed.

Explanation

Only horizontal component of velocity $\left(u\cos \theta \right)$

Explanation

Since horizontal component of velocity is constant, hence momentum is constant

Audio Explanation: 

Explanation

From the figure, the X-component remains unchanged, while the Y-component is reversed. Then, the velocity at point B is (2i-3j) ms^-1

Explanation

The velocity of the bomb w.r.to the pilot, in horizontal direction = 0.

So, the pilot will see the bomb falling vertically downward as the bomb do not have any horizontal motion and only vertical motion w.r.to the pilot.

Explanation

The acceleration of the projectile is always equal to g in downward direction during the flight.

Explanation

The path of the projectile with respect to another projectile will be a straight line as the acceleration of both the projectiles will be same. So, they will have only a relative velocity with respect to each other.

Explanation

Explanation

The velocity is perpendicular to the acceleration due to gravity at the highest point. So, the momentum is also perpendicular to the acceleration due to gravity at the highest point.

In his book Two New Sciences, Galileo stated that for projectile angles that exceed or fall short of 45° by equal amounts, the ranges are equal.

This means that if a projectile is launched at two angles that are complementary (e.g., 30° and 60°), the horizontal ranges will be the same, assuming the same initial speed and ideal conditions (no air resistance).

Explanation

Relative velocity of B w.r.t A

V_BA = V_B – V_A

= 80 – (-65)

= 145 km/h