## How is constant acceleration shown on a distance time graph?

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If the speed of an object changes, it will be accelerating or decelerating . This can be shown as a curved line on a distance-time graph. If an object is accelerating or decelerating, its speed can be calculated at any particular time by: measuring the gradient of the tangent.

### Which of the following distance-time graph shows accelerated motion?

Answer: The graph is a curve ( hyperbola). The slope of the graph gives velocity. This is the nature of dt graph for uniformly accelerated motion.

#### How is speed shown on a distance versus time graph?

In a distance-time graph, the speed of the object is represented by the slope, or steepness, of the graph line. If the graph line is horizontal, like line B in Graph 2 in the Figure below, then the slope is zero and so is the speed. In other words, the object is not moving.

**Does constant acceleration mean constant velocity?**

Constant Acceleration vs. Traveling with a constant velocity means you’re going at the same speed in the same direction continuously. If you have a constant velocity, this means you have zero acceleration.

**What is distance time graph?**

Distance-time graphs show how the distance travelled by a moving object changes with time.

## What is constant velocity graph?

Constant velocity means the velocity graph is horizontal, equal to 11.11 m/s at all times. A constant velocity means the position graph has a constant slope (of 11.11 m/s). It’s a straight line sloping up, and starting below the origin. The displacement is the area under the curve of the velocity graph.

### How would you show acceleration on a speed vs time graph?

A sloping line on a speed-time graph represents an acceleration . The sloping line shows that the speed of the object is changing. The object is either speeding up or slowing down. The steeper the slope of the line the greater the acceleration.

#### What if the graph shows acceleration rather than speed?

It is not moving. We say it is At Rest. If an object is moving at a constant speed, it means it has the same increase in distance in a given time: Graphs that show acceleration look different from those that show constant speed.

**How can you differentiate constant velocity and constant acceleration?**

A constant velocity of an object ensures that the rate of change of velocity with time is null and hence the acceleration of the object is zero. A constant acceleration of an object ensures that the velocity of the object is changing continuously with time and the velocity will not be constant.

**How to find time with acceleration and distance?**

a = 2 * (Δd – v_i * Δt) / Δt², a = F / m, where: a is the acceleration, v_i and v_f are respectively the initial and final velocities, Δt is the acceleration time, Δd is the distance traveled during acceleration, F is the net force acting on an object that accelerates, m is the mass of this object.

## What is the formula for acceleration using distance and time?

the formula is s = ut + 0.5 at^2 where s is the distance, u is the initial velocity (speed is the magnitude of velocity), a is the acceleration and t is the time. Put all the values in the above formula and you will get an equation for t. Solve that and you will get the value. You can also solve these two equations:

### How to find velocity from an acceleration versus time graph?

Assuming you start from rest and that the acceleration is constant, use ½a*t²=x, where a is your acceleration, t is time, and x is distance. For velocity, use v=a*t, where v is final velocity and t is time. Make sure you use the positive time value.

#### How do you find time when given distance and acceleration?

Vi stands for “initial velocity”