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Which of the following best describes the relationship between distance, time and speed when a body is NOT accelerating?
speed=distancetimeтАЛ
time=speeddistanceтАЛ
distance=timespeedтАЛ
distance=speedtimeтАЛ
time=speeddistanceтАЛ
In kinematics, the relationship between distance, speed, and time is defined by the basic equation of motion. When a body is not accelerating, its speed (or velocity) remains constant, and the distance covered is the product of speed and time.
In kinematics, the relationship between distance, speed, and time is defined by the basic equation of motion. When a body is not accelerating, its speed (or velocity) remains constant, and the distance covered is the product of speed and time.
If you drive your car at a steady speed of 50 km/h for 2 hours, you cover 100 km. The distance is simply how fast you were going multiplied by how long you were on the road.
Remember the 'DST' triangle: Put D on top, S and T on the bottom. To find D, multiply S and T. To find S or T, divide D by the other.
d=v├Чt тАФ Distance equals speed times time
v=tdтАЛ тАФ Speed equals distance divided by time
t=vdтАЛ тАФ Time equals distance divided by speed
The fundamental formula for constant velocity motion is derived from the definition of average speed: v=tdтАЛ. Rearranging this equation to solve for distance, we get d=v├Чt. When acceleration is zero, the instantaneous speed is equal to the average speed, confirming the linear relationship between distance and time.
Distance is a scalar quantity while displacement is a vector quantity.
Speed is the magnitude of velocity; if direction is constant, they are interchangeable.
When acceleration is zero, the distance-time graph is a straight line passing through the origin.
Provides a simple method to calculate travel parameters for uniform motion.
Not applicable when the speed is changing (accelerated motion).
Calculating travel time for a train moving at constant speed.
Basic physics calculations in school-level kinematics.
The SI unit for distance is meter (m), speed is m/s, and time is second (s).
Option A (speed=distancetimeтАЛ) is dimensionally incorrect.
Option C (distance=timespeedтАЛ) is dimensionally incorrect.
Option D (distance=speedtimeтАЛ) is dimensionally incorrect.
B is correct тАФ For a body moving at a constant speed (not accelerating), the distance covered is calculated by the formula distance=speed├Чtime.
Always check units. If the equation is distance=speed├Чtime, ensure units match: meters = (meters/second) * seconds. If units don't cancel out to the correct result, the formula is wrong.
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