But at the same time, students can make small mistakes that can generate wrong answers. This makes Acceleration Time Graphs a very scoring topic in the examination and it is often solved by everyone. Important Things To Remember In Acceleration Time GraphĪcceleration Time Graphs are very easy to understand and the questions based on this topic are often easily solvable in a small amount of time during the examination. The final velocity of the object is 18m/sec. △v = LB+ ½ base.height+½ base.height (data as per the given graph)Ģ2 = 40 - v i ( final velocity of the object 40 m/sec given in the question) △v = area of rectangle + area of △ 1 + area of △ 2 So you need to find the area of these figures to find the change in the velocity of the object.

The final velocity of the object is 26 m/sec.Įxample:- There is an acceleration vs time graph given, then find the initial velocity of the object if the final velocity of the object was 40m/sec.Īnswer:- As there is a graph that has the figure under the curve so you have to find the area under the acceleration time graph.Īs you can see clearly, the graph has three figures, two triangles and one rectangle. △v is the change in velocity which means that the difference between the final velocity and initial velocity of the object.Ģ0 = v f - 6 ( initial velocity is given in the question as 6 m/sec) = 10 sec so by the formula we get the change in velocity as, △a that is a change in acceleration = 2m 2 /sec, △t which is symboled for the time interval Find the final velocity of the object?Īnswer:- As there is the direct data given in the question so here solve the question by the formula that we have, Let us consider some examples to understand the topic more precisely.Įxample:- The initial velocity of an object is 6m/sec, the change in the acceleration of the object in 10 seconds is 2m 2 /sec. What if there is only a graph given in the place of the data? In that case, you will figure out the shapes formed under the graph and find the area of that figure according to the parameters required to calculate that. This is the direct theoretical formula which can be used to find any of the three values for which the other two are given. You can represent the change in velocity as △v, change in acceleration as △a and change in time as △tĪccording to the definition of the acceleration,īy multiplying the △t that is change in time interval to both sides, we get, This means the area under the curve of the acceleration time graph is equal to the change in the velocity of the object in the given time period. The area under the graph gives the change in the velocity of the object in the given interval of the time. Time period:- The time period is defined as the interval of the time given to perform the specific activity. Velocity:- The velocity of an object is defined as the ratio of the change in the position of the object in the given time interval. In simple words acce leration means to gain and lose the velocity of the vehicle. The SI unit of the acceleration is m 2 /sec. Let us discuss these terminologies first.Īcceleration:- It is the ratio of the change in velocity in the given time interval. To understand the graph of the acceleration vs time graph you must have an idea about some terminologies.

Understanding The Acceleration Time Graph The acceleration time graph is used to find the change in the velocity of the moving object for the given period of time and this can be determined by finding the area under the curve. In the acceleration vs time graph on the x-axis you have the time taken by the object and on the y-axis acceleration of the object, in which the area under the graph gives you the change in velocity of the object over the given period of the time. The acceleration time graph is the graph that is used to determine the change in velocity in the given interval of the time.

Iunit of force vs acceleration graph