To determine the unit of acceleration, we need to recall its definition and the units of the quantities involved in its calculation. Acceleration is defined as the rate of change of velocity with respect to time.
Correct Option: C) Meter per second squared
The question asks about the relationship between velocity and acceleration in uniformly accelerated motion. We need to recall the definitions of velocity and acceleration and how they behave under uniform acceleration.
Correct Option: B) Velocity and acceleration are directly proportional
In uniformly accelerated motion, the change in velocity is directly proportional to the acceleration and the time interval. The equation \(v = v_0 + at\) shows that velocity changes linearly with time, and the rate of this change is determined by the constant acceleration. Therefore, velocity and acceleration are directly proportional in the sense that acceleration directly dictates the rate at which velocity changes.
The question asks for the formula to calculate displacement. Displacement is a vector quantity that represents the shortest distance between an object's initial and final positions, along with its direction. It is a measure of the overall change in position.
Mathematically, if \(\vec{r}_i\) is the initial position vector and \(\vec{r}_f\) is the final position vector, then the displacement \(\Delta \vec{r}\) is given by:
\[ \Delta \vec{r} = \vec{r}_f - \vec{r}_i \]D) Displacement=Final Position-Initial Position — This is the correct definition and formula for displacement. It represents the net change in position from the starting point to the ending point.
What is the acceleration due to gravity on the surface of the Earth?
The question asks for the acceleration due to gravity on the surface of the Earth. This is a fundamental physical constant that is commonly known and used in various physics calculations. We need to identify the correct value and its units.
C) \(9.8 \text{ m/s}^2\) — This is the internationally accepted standard value for the acceleration due to gravity on the surface of the Earth, and the units (\(\text{m/s}^2\)) are correct for acceleration.
The question asks for the specific force that opposes the motion of an object when it moves through a fluid (like air or water). We need to identify the term that describes this resistance.
Correct Option: D) Drag force is the resistive force exerted by a fluid (liquid or gas) on an object moving through it. This force opposes the relative motion of the object with respect to the fluid.
The question asks for the mathematical relationship between force, mass, and acceleration as defined by Newton's second law of motion. We need to recall the fundamental formula associated with this law.
This can be written as \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration.
C) Force = Mass × Acceleration. This option correctly represents Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.