Explanation

The area under a velocity-time graph represents the total distance traveled by an object. This is because:

∫v(t)dt = distance

Where v(t) is the velocity as a function of time.

Explanation

Projectile motion is a type of two-dimensional motion where an object moves under the influence of gravity, with a constant acceleration of g (9.8 m/s²).

It involves a combination of horizontal motion with a constant velocity and vertical motion with a constant acceleration, resulting in a curved trajectory.

Explanation

The range of a projectile is maximized when sin2𝜃 = 1.

It occurs at an angle of 45∘ since 

sin90∘ = 1.

Explanation

Instantaneous velocity at any point on a curved path is directed tangentially to the curve.

It indicating the direction of motion at that moment.

Explanation

In an elastic collision, the total kinetic energy of the system remains conserved, meaning it remains the same before and after the collision.

This is because the collision is perfectly elastic, meaning no energy is lost or gained, and the objects rebound with the same velocity they had before the collision.

Explanation

The formula 𝑉 = 𝑊/ 𝑞0 represents electric potential, where 𝑉 is the potential, 𝑊 is the work done, and 𝑞0 is the test charge.

Explanation

The value of heat energy (Q) in an adiabatic process is 0.

In an adiabatic process, no heat is exchanged with the surroundings, so Q = 0.

Explanation

• During an isothermal process, the temperature remains constant.
• Meaning: "iso" (equal) + "thermal" (heat)
• For an ideal gas: internal energy doesn't change
• Energy flow: all heat added is converted into work done (or vice versa)
• Key law: follows Boyle's Law — if temperature is constant, pressure × volume = constant (PV= constant)

Explanation

The distance between two successive particles that are in the same state of vibration is called Wavelength.

It is measured as the distance between two consecutive crests or troughs in a wave.

Explanation

The appropriate Doppler equation when the source is approaching the stationary observer is 𝑓𝑜 = 𝑣/𝑣 − 𝑣𝑠 𝑓𝑠.

This equation accounts for the increased frequency observed when the source moves toward the observer, as the sound waves are compressed.