Acceleration Calculator – Free Online Calculator

Last Updated : 24 Apr, 2024

Acceleration Calculator: A tool designed to help you quickly determine the acceleration of any moving object. Acceleration is a vector quantity that measures the rate at which an object changes its velocity. By entering the change in velocity and the time it takes for that change to occur, the acceleration calculator provides you with an accurate measurement of acceleration. This GeeksforGeeks free online calculator makes it easy to compute how fast an object’s speed is changing over time.

How to Use Acceleration Calculator

To calculate acceleration manually, follow these steps:

1. Identify Initial and Final Velocity: Determine the object’s starting velocity (initial velocity, (v_i)) and its final velocity ((v_f)) after a certain time period.

2. Determine the Time Interval: Calculate the time ((t)) it takes for the velocity to change from the initial to the final value.

3. Apply the Acceleration Formula: Use the formula (a = \frac{v_f – v_i}{t}), where (a) is the acceleration.

What is an Acceleration Calculator?

An acceleration calculator is a conceptual guide that helps you perform acceleration calculations manually. It’s not a physical tool or software, but rather a method for understanding and calculating the rate of velocity change.

Acceleration Calculator Formula

The acceleration calculator formula is a straightforward way to find out how quickly something is speeding up or slowing down. Here’s the key fact: acceleration measures the change in velocity (speed and direction) over time.

The formula for this is:

Acceleration = Change in velocity / Time

Acceleration Calculator Table

Note: The following table is based on the acceleration formula where the initial velocity is zero.

Final Velocity (m/s)	Time (s)	Acceleration (m/s²)
10	1	10
20	1	20
30	1	30
40	1	40
50	1	50

Solved Examples on Acceleration Calculator

1. A skateboarder increases speed from 0 m/s to 15 m/s in 3 seconds:

(a = \frac{15 m/s – 0 m/s}{3 s} = 5 m/s²)

2. A cyclist decelerates from 10 m/s to 2 m/s in 4 seconds:

(a = \frac{2 m/s – 10 m/s}{4 s} = -2 m/s²) (The negative sign indicates deceleration.)

3. A ball is thrown vertically upwards and its speed decreases from 20 m/s to 0 m/s in 2 seconds:

(a = \frac{0 m/s – 20 m/s}{2 s} = -10 m/s²) (The negative sign indicates deceleration due to gravity.)

3 Practice Questions on Acceleration Calculator

1. What is the acceleration of a car that goes from a standstill to 60 m/s in 10 seconds?

2. Calculate the acceleration of a train that slows down from 90 m/s to 45 m/s in 15 seconds.

3. If a runner increases their speed from 5 m/s to 10 m/s over 20 seconds, what is their acceleration?

Conclusion

Acceleration Calculator is a powerful tool that simplifies calculations involving speed and time. Manual acceleration calculations allow you to understand how objects speed up and slow down in the physical world. By using the simple formula provided, you can calculate acceleration for any scenario. Using acceleration calculator, you can ensure accuracy in your calculations, saving time and avoiding errors. It’s an essential resource for anyone dealing with motion and dynamics.