The question asks about the physical quantity represented by the slope of a velocity-time (v-t) graph. We need to recall the definitions of slope in a graph and the fundamental kinematic relationships between velocity, time, and acceleration.
C) The instantaneous acceleration of the object at that point. As derived, the slope of a v-t graph is \(\frac{\Delta v}{\Delta t}\), which is the definition of acceleration. When considering the slope at a specific point on a curve, it refers to the instantaneous acceleration.
The question asks for the general definition of average speed. It's important to distinguish between speed and velocity, and distance and displacement, as these terms are often confused but have distinct physical meanings.
C) Total distance travelled divided by total time taken. This is the standard and correct definition of average speed in physics. It accounts for the entire path length covered by the particle over the duration of its motion.
To understand uniform motion along a straight line, we need to recall the definitions of velocity, speed, and acceleration. Uniform motion implies constant velocity, which has specific consequences for distance covered and acceleration.
B) Covers equal distances in equal intervals of time, implying zero acceleration. This statement perfectly aligns with the definition and consequences of uniform motion along a straight line. Constant velocity means equal distances are covered in equal time intervals, and a constant velocity implies zero acceleration.
The question asks for the correct statement of Newton's First Law of Motion, also known as the Law of Inertia. We need to evaluate each option against the established definition of this law.
Correct Option: B) A body continues in its state of rest or uniform motion in a straight line unless acted upon by a net external force
The question asks about the relationship between the rate of change of momentum and the applied force, as described by Newton's Second Law of Motion. We need to recall the definition and mathematical formulation of this law.
B) Directly proportional to the net external force applied, and occurs in the direction of that force
This statement perfectly aligns with the definition of Newton's Second Law of Motion. The law explicitly states that the rate of change of momentum is directly proportional to the applied force and occurs in the direction of the force.
The question asks to identify the correct statement of Newton's Third Law of Motion. We need to recall the definitions of Newton's three laws and other related physics concepts to evaluate each option.
A) For every action, there is an equal and opposite reaction. This is the accurate and complete statement of Newton's Third Law of Motion.