Q: Why does the slope of a velocity time graph give you acceleration?

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Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.

In case of uniform acceleration,the graph will be a straight line with a +ve slope ,if we are taking velocity along Y-axis and time along X-axis.hence it's slope will give u acceleration.

If you have an object that is accelerating, then a position vs. time graph will give you a parabola which is pretty but is very hard to measure anything on - especially hard to measure the acceleration (or the curve of the line). If however, you graph position vs. time squared, you get a nice straight line (if you have constant acceleration) and therefore, you can measure the slope and get the acceleration. Remember: x = 1/2at2 so if you graph x vs. t2 then the slope = 1/2 a or a = 2*slope No matter what you are measuring, you always want to graph a straight line. hope that helps

Slope of the graph will give you speed.

You do not need force. Velocity is the integral of acceleration with respect to time. The orthogonal components of acceleration can be integrated independently to give the orthogonal components of velocity.

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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.

Acceleration can be determined from a position vs. time graph by finding the slope of the velocity vs. time graph. The slope of the velocity vs. time graph represents the rate at which velocity is changing, which is acceleration. A steeper positive slope indicates a higher acceleration, while a steeper negative slope indicates deceleration.

The slope of the line of a speed-versus-time graph will give you acceleration. Remember that acceleration may be positive or negative, and in some cases, acceleration may be positive when speed remains the same.1 If the speed-time curve is linear or piecewise linear2, acceleration is, as stated above, merely the slope of the line segment. If, however, the graph is a smooth curve, then changing acceleration is represented. In other words, the rate of change of velocity -- delta-V over delta-T -- is not a constant. In that case, the slope of the line segment tangent to the curve at any given point is the acceleration at that point. Note 1: There is a discussion comment on this point.Note 2: See the web link for an example of a graph that is piecewise linear.

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.

It will give you the change in velocity per unit of time, otherwise known as acceleration.

Acceleration on a speed-time graph is represented by the slope of the line. A steeper slope indicates a greater acceleration. If the slope is positive, it indicates acceleration; if it is negative, it indicates deceleration.

Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.

Slopes give you the rate of change. On a distance vs. time graph the rate of change (i.e. the slope) is the velocity. On a Velovity vs. Time graph the rate of change is the acceleration. etc.

Acceleration and displacement can be obtained from the velocity-time graph. Acceleration is the rate of change of velocity, which can be found as the slope of the velocity-time graph. Displacement can be determined by finding the area under the velocity-time graph, as it represents the distance traveled by an object.

In case of uniform acceleration,the graph will be a straight line with a +ve slope ,if we are taking velocity along Y-axis and time along X-axis.hence it's slope will give u acceleration.

A velocity-time graph is used to analyze the motion of an accelerating object. The slope of the graph represents the acceleration of the object - a steeper slope indicates a greater acceleration. The area under the curve represents the distance traveled by the object.

The slope of a distance-time graph represents the speed or velocity of an object. A steeper slope indicates a faster speed, while a shallower slope indicates a slower speed.