To figure out velocity, you divide the distance by the time it takes to travel that same distance, then you add your direction to it. For example, if you traveled 50 miles in 1 hour going west, then your velocity would be 50 miles/1 hour westwards, or 50 mph westwards.

The distance travelled by an object can be calculated from the area under a velocity-time graph. The area under the graph can be calculated by: using geometry (if the lines are straight) counting the squares beneath the line (particularly if the lines are curved).

Solution

1. When t=1, the velocity of the particle is 4+2=6 m/s.
2. When t=2, the velocity of the particle is 4+2×2=8 m/s.
3. After t seconds, the velocity of the particle is 4+2t m/s.

Final Velocity Formula v_f = v_i + aΔt. vf=vi+aΔt. For a given initial velocity of an object, you can multiply the acceleration due to a force by the time the force is applied and add it to the initial velocity to get the final velocity.

After 3 seconds, the velocity is 4.5+3×1.5=9 m/s.

Average velocity can be calculated by determining the total displacement divided by the total time of travel. The average velocity of an object does not tell us anything about what happens to it between the starting point and ending point.

Acceleration

1. Acceleration is the rate of change of velocity. It is the amount that velocity changes per unit time.
2. The change in velocity can be calculated using the equation:
3. change in velocity = final velocity – intial velocity.
4. This is when:
5. The average acceleration of an object can be calculated using the equation:

You can find acceleration from velocity-time graph by finding the slope of the velocity-time curve. For example. When it is flat, acceleration is #0#. When it is positive, the object is accelerating. When it is negative, the object is decelerating and.

Velocity vs. time graph shows the variation of velocity with time. If the velocity-time graph is a straight line parallel to the x axis, the object moves with constant velocity. If the graph is a straight line (not parallel to the x axis), the velocity is increasing uniformly i.e.

An acceleration time graph is particularly useful when trying to find the total distance traveled by the object. An example of an acceleration-time graph with constant acceleration over time. An example of an acceleration-time graph with changing accelerations over time.

Velocity-Time Graphs. A velocity time graph is used to graph the speed of the object. It can show acceleration or constant velocity. Time is on the x-axis and velocity is on the y-axis. There are two basic shapes for the velocity time graph that either represent constant velocity motion or accelerated motion.