Any curved line on a distance/time graph indicates the presence of acceleration
that's causing a change in the magnituide of the velocity. But if the object's speed
is constant, and the acceleration is changing its direction only, then the line on the
D-T graph would remain straight.
In summary:
Every curved line on a D-T graph reveals acceleration, but not every acceleration
produces a curved line on a D-T graph.
False. A negative slope on the velocity vs time graph indicates that the object is decelerating or slowing down, but it is still accelerating in the opposite direction.
No. It always indicates that the object is not accelerating.
False. A negative slope on a velocity vs. time graph indicates that the object is decelerating, not that it is not accelerating. Acceleration and deceleration are both forms of acceleration, but in opposite directions.
The positive slope of the velocity-time graph indicates that the cart is accelerating. The steeper the slope, the greater the acceleration. If the slope is negative, it indicates the cart is decelerating.
Not necessarily. A zero slope on a velocity vs time graph indicates that the object's velocity is constant, not that it is not moving. If the velocity is zero and remains zero, then the object is not moving.
The slope of a speed vs time graph indicates an objects acceleration.
On a accelerating body, Velocity and distance of an object are effected. For a graph plotted with Acceleration to Time, it directly gives the acceleration at any given instant. For a graph plotted with Velocity versus Time. The Slope at any instant would give the Acceleration. Or given the time frame, say A to B. Acceleration can be found out by subtracting velocity at A from velocity at B divided by the time frame A to B.
The slope of the instantaneous speed-vs-time graph represents the acceleration of the object. A positive slope indicates the object is accelerating in the positive direction, while a negative slope indicates acceleration in the negative direction. The steeper the slope, the greater the magnitude of the acceleration.
The slope of a speed-time linear graph represents acceleration. Specifically, it indicates how much the speed of an object increases or decreases over time. A positive slope means the object is accelerating, while a negative slope indicates deceleration. If the slope is zero, the object is moving at a constant speed.
When the slope of a velocity vs. time graph is not zero, it indicates that the object is accelerating. Positive slope means the object is speeding up, negative slope means it is slowing down.
A horizontal line on a velocity vs. time graph represents constant velocity. This means that the object is moving at a steady speed without accelerating or decelerating. The height of the line indicates the magnitude of the velocity, while the horizontal nature indicates that this velocity remains unchanged over time.
As time progresses, the slope of a position vs. time graph indicates the object's velocity. If the slope is constant, the object is moving at a steady speed. If the slope is increasing, the object is accelerating, while a decreasing slope indicates deceleration. A slope of zero means the object is stationary.