There is acceleration going on.
That slope is the 'speed' of the motion. If the slope is changing, then the speed is changing. That's 'accelerated' motion. (It doesn't matter whether the speed is growing or shrinking. It's still 'accelerated' motion. 'Acceleration' does NOT mean 'speeding up'.)
Magnitude of acceleration (but conveys no informationregarding acceleration's direction).
Ahorizontal line on a velocity vs time graph does not indicate any acceleration because there is no slope. Speed remains constant.
The slope of a line on a velocity-time graph is acceleration.
The slope of a straight line tells the rate at which your variables are changing. In this case, it tells you how your velocity is changing over time, which in physics is how we define acceleration. If you graph the velocity of an object vs time when it is falling through the air, it gives to the acceleration due to gravity because that is the acceleration all objects fall at.
That slope is the 'speed' of the motion. If the slope is changing, then the speed is changing. That's 'accelerated' motion. (It doesn't matter whether the speed is growing or shrinking. It's still 'accelerated' motion. 'Acceleration' does NOT mean 'speeding up'.)
magnitude of velocity
The slope of a position/time graph is the speed (magnitude of velocity).If the graph's slope is changing, that means the speed is changing, andthat would be accelerated motion.
The rate at which acceleration is changing.
On a distance/time graph, the slope of the line is the speed. (Magnitude of velocity.)
yes
instantaneous velocity
It means that the velocity is constant, or not changing.
Magnitude of acceleration (but conveys no informationregarding acceleration's direction).
slope of the graph ... actually the absolute value of the slope, actual slope, positive or negative, would indicate direction, so the slope would be velocity.
A less steep slope indicates a slower velocity than that of a steeper slope.
The slope of [distance vs. time] is [speed]. If the slope is constant, then the speed is constant,meaning the magnitude of acceleration is zero.(The direction of velocity might still be changing though, which wouldn't show up on the graph.)