What does the slope of a velocity-time graph for a body moving with uniform acceleration represent?
The acceleration of the object
On a velocity–time graph, the slope is \(\frac{\Delta v}{\Delta t}\), the change in velocity per unit time.
By definition, \(a = \frac{v - u}{t}\), so the slope equals the acceleration; for uniform acceleration the graph is a straight line with constant slope.
The area under the v–t graph gives the displacement (distance covered), while initial or final position is read from a position–time graph, not the slope of a v–t graph.
Hence, the answer is The acceleration of the object.
Similar Questions
The area under a velocity–time graph for uniform acceleration is in the shape of a _________.
Which of the following is not an example of uniform circular motion?
A runner completes a 400 m circular track in 80 s, ending at the starting point. What is the magnitude of average velocity for this run?
During a hike, a person walks 7 km east and then 24 km north. Which description best matches the person’s resultant displacement vector?
A train moves 60 km at 30 km/h, halts for 1h, and then covers 90 km at 45 km/h. What is the average speed over the entire journey?
If two objects have velocity-time graphs that are both straight lines parallel to the time axis but at different heights, what does this indicate about the two objects?
In a distance-time graph, if the curve is NOT a straight line, then it represents _______.
In all three equations of motion, the acceleration is assumed to be ________.
A speed - time graph for a car shows a straight line rising from 0 m/s at 0 s to 20 m/s at 5 s, then staying constant at 20 m/s until 10 s, and finally dropping to 0 m/s at 15 s. What is the total distance travelled by the car?
A cyclist starts from rest and pedals with constant force, causing her velocity to increase at a steady rate. After 5 seconds, which feature best describes the corresponding velocity-time graph for this motion?
Important Questions from Motion
An object is covering distance in direct proportion to the square of time elapsed. What conclusion can be drawn about the motion of the object?
If the distance time graph of the motion of an object is a straight line but not parallel to the time axis, then it may be concluded that the object is moving with a:
Vehicles have treaded tires so that it_______.
What is the formula for momentum?
Momentum of a given body is doubled. Its kinetic energy becomes (mass not changed)
