the slope at any point on the graph is the acceleration
The physical quantity given by the slope of a velocity-time graph is acceleration. This is because the slope represents the rate of change of velocity over time, which is how acceleration is defined (acceleration = change in velocity / time taken).
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
the slope of a tangent to the curve of a V vs T graph is acceleration at that point in time. the derivative of the function for the V vs T graph would be the function for acceleration at any given time
deceleration can be measured from a velocity time graph by calculating the gradient of the velocity time graph if the V-t graph was linear. If the v-t graph was a curve then the differentiatial of the equation of the curve will give the deceleration variation with time.
The velocity-time graph for a car first accelerating and then decelerating uniformly would have a positive slope during acceleration, representing an increase in velocity, and then a negative slope during deceleration, showing a decrease in velocity. The graph would form a "V" shape with two straight lines meeting at a point where the acceleration changes to deceleration.
The physical quantity given by the slope of a velocity-time graph is acceleration. This is because the slope represents the rate of change of velocity over time, which is how acceleration is defined (acceleration = change in velocity / time taken).
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
The slope of the curve at each point on thegraph is the speed at that point in time. (Not velocity.)
the slope of a tangent to the curve of a V vs T graph is acceleration at that point in time. the derivative of the function for the V vs T graph would be the function for acceleration at any given time
Derivitives of a velocity : time graph are acceleration and distance travelled. Acceleration = velocity change / time ( slope of the graph ) a = (v - u) / t Distance travelled = average velocity between two time values * time (area under the graph) s = ((v - u) / 2) * t
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
if the acceleration is constant, then it is a parabola (a=V*t+(at^2)/2). if it isn't, and you are give it's formula in relation to time, then it is possible to find the distance formula by using higher level mathematics(integrals).
It is radial the velocity in a direction towards or away from a fixed point of reference (the origin) at a given time. The velocity time graph takes no account of motion in a direction across the radial direction.
deceleration can be measured from a velocity time graph by calculating the gradient of the velocity time graph if the V-t graph was linear. If the v-t graph was a curve then the differentiatial of the equation of the curve will give the deceleration variation with time.
you can't....it's merely impossible! Assuming it is a graph of velocity vs time, it's not impossible, it's simple. Average velocity is total distance divided by total time. The total time is the difference between finish and start times, and the distance is the area under the graph between the graph and the time axis.
The velocity-time graph for a car first accelerating and then decelerating uniformly would have a positive slope during acceleration, representing an increase in velocity, and then a negative slope during deceleration, showing a decrease in velocity. The graph would form a "V" shape with two straight lines meeting at a point where the acceleration changes to deceleration.
It shows the speed of an object in a direction towards or away from the reference point. This is not the speed of the object because any motion in a transverse direction is ignored. For example, even if a racing car is going at top speed around the reference point on a circular track, the distance v time graph will be a horizontal line. The slope will be zero.