An online calculator for calculating acceleration, speed and distance for uniformly accelerated, rectilinear motion calculates and givess a detailed stepbystep solution.
The calculator calculates:
Calculator for calculating the acceleration at a straight line uniformly accelerated motion.
Calculator for calculating the final speed at the end of a period of time with uniformly accelerated rectilinear motion.
Calculator for calculating the initial speed at time t0 with uniformly accelerated rectilinear motion.
Object displacement calculator for rectilinear uniformly accelerated motion.
Examples of calculating acceleration, speed and distance.
Acceleration Calculator
Acceleration at uniformly accelerated (motion with constant acceleration), rectilinear motion is called a value equal to the ratio of the change in speed to the time interval during which this change occurred. The more the acceleration, the more the speed changes.
The SI unit of acceleration is meter per second squared, but other units can also be used, such as kilometer per hour squared, centimeter per second squared, etc.
Hours
Minutes
Seconds
Initial speed v0
Final speed v
The SI unit of acceleration
Final Speed Calculator
The final velocity v, which the object had at the end of the time interval t, is determined by the sum of the initial velocity v0 and the product of acceleration and time.
If v0 = 0, the formula takes the form v = at. So, if v0 is zero, put zero in the field for the initial speed v0.
The SI unit of speed is meter per second, but other units can also be used, such as kilometer per hour, centimeter per second, etc.
Hours
Minutes
Seconds
Initial speed v0
Acceleration a
The SI unit of final speed v
Initial Speed Calculator
The initial velocity v0 that the object had at time t0 is determined by the difference between the final speed v and the product of acceleration and time.
The SI unit of speed is meter per second, but other units can also be used, such as kilometer per hour, centimeter per second, etc.
Hours
Minutes
Seconds
Final speed v
Acceleration a
The SI unit of initial speed v0
Distance Calculator
Distance is defined as the sum of the product of the initial speed and time and the ratio of the product of acceleration and the square of time to 2.
With rectilinear uniformly accelerated motion without an initial speed, the distance is directly proportional to the square of the time interval during which this motion was made. Therefore, if the initial velocity v0 is zero, put zero in the field for the initial velocity v0, the equation becomes S = at^{2}/2.
Hours
Minutes
Seconds
Speed v0
Acceleration a
The SI unit of distance S
Acceleration Calculation Examples
Example 1.
Before takeoff, the plane was moving uniformly accelerated for 45 seconds, determine the acceleration of the plane km/h^{2} if in 45 seconds its speed increased from 15 to 100 m/s^{2}.
Step by step solution:
Convert meter per second to kilometer per hour.
Let's convert meters to kilometers. There are 1000 meters in one kilometer, so we divide the meters by 1000.
15 : 1000 = 3/200 = 0.015 kilometers.
Let's convert seconds to hours.
There are 3600 seconds in one hour, so we need to divide the number of seconds by 3600.
1 : 3600 = 1/3600
Divide distance by time
v_{0} =  3/200 
1/3600 
= 54 Kilometers per hour  
Convert meter per second to kilometer per hour.
Let's convert meters to kilometers. There are 1000 meters in one kilometer, so we divide the meters by 1000.
100 : 1000 = 1/10 = 0.1 kilometers.
Let's convert seconds to hours.
There are 3600 seconds in one hour, so we need to divide the number of seconds by 3600.
1 : 3600 = 1/3600
Divide distance by time
v =  1/10 
1/3600 
= 360 Kilometers per hour  
There are 3600 seconds in one hour, so we need to divide the number of seconds by 3600.
45 : 3600 = 1/80
Find the acceleration a, divide the difference between the initial and final speed by time.
Acceleration =  
360  54  
1/80 
= 24480 Kilometers per hour squared  
Example 2.
With what acceleration did the cyclist move if in 10 minutes his speed increased from 100 centimeters per second to 5.4 Kilometers per hour. Indicate the answer in km/s^{2}.
Step by step solution:
Convert centimeters per second to Kilometers per second.
Let's convert centimeters to kilometers. One kilometer has 100000 centimeters, so we divide centimeters by 100000.
100 : 100000 = 1/1000 = 0.001 kilometers.
We get
v_{0} = 1/1000 = 0.001 Kilometers per second
Convert Kilometers per hour to Kilometers per second
Let's convert hours into seconds.
There are 3600 seconds in one hour, which means we need to multiply the number of hours by 3600.
1 × 3600 = 3600
Divide the resulting distance by time.
v =  5.4 
3600 
= 3/2000 = 0.0015 Kilometers per second  
One minute has 60 seconds, which means we need to multiply the number of minutes by 60.
10 × 60 = 600
Find the acceleration a, divide the difference between the initial and final speed by time.
Acceleration =  
3/2000  1/1000  
600 
= 1/1200000 = 0.000000833333333333333 Kilometers per second squared  
Examples of Calculating the Initial and Final Speed
Example 1.
What will be the speed of the object in 6 seconds if the object is moving with an acceleration of 3 m/s^{2} and the initial speed is 5 m/s. Indicate the answer in inches per minute.
Step by step solution:
Convert meter per second to inch per minute
Let's convert meters to inches. There are 39.3701 inches in one meter, so multiply the meters by 39.3701.
5 × 39.3701 = 393701/2000 = 196.8505 inches.
Let's convert seconds to minutes.
One minute has 60 seconds, which means we need to divide the number of seconds by 60.
1 : 60 = 1/60
Divide distance by time
v_{0} =  393701/2000 
1/60 
= 1181103/100 = 11811.03 inches per minute  
Convert meter per second square to inch per square minute
Let's convert meters to inches. There are 39.3701 inches in one meter, so multiply the meters by 39.3701.
3 × 39.3701 = 1181103/10000 = 118.1103 inches.
Let's convert seconds to minutes.
One minute has 60 seconds, which means we need to divide the number of seconds by 60.
1 : 60 = 1/60
Divide distance by time
a =  1181103/10000 
(1/60)^{2} 
= 10629927/25 = 425197.08 Inches per minute squared  
One minute has 60 seconds, which means we need to divide the number of seconds by 60.
6 : 60 = 1/10
Let's find the final speed v, add to the initial speed v0 the product of acceleration a and time t.
Final speed v = 1181103/100 + (10629927/25) × 1/10 = 27165369/500 = 54330.738 Inches per minute
Example 2.
The object was moving with a constant acceleration of 4 centimeters per minute squared, after 1 hour the speed of the object was 10 Kilometers per hour, find the initial speed of the object. The answer is in meters per second.
Step by step solution:
Convert kilometer per hour to meter per second
Let's convert kilometers to meters. There are 1000 meters in one kilometer, so we multiply kilometers by 1000.
10 × 1000 = 10000 meters.
Let's convert hours into seconds.
There are 3600 seconds in one hour, which means we need to multiply the number of hours by 3600.
1 × 3600 = 3600
Divide distance by time
v =  10000 
3600 
= 25/9 = 2.77777777777778 Meters per second  
Convert centimeter by minute squared to meter per second squared
Let's convert centimeters to meters. One meter has 100 centimeters, so we divide centimeters by 100.
4 : 100 = 1/25 = 0.04 meters.
Let's convert minutes to seconds.
One minute has 60 seconds, which means we need to multiply the number of minutes by 60.
1 × 60 = 60
Divide distance by time
a =  1/25 
60^{2} 
= 1/90000 = 0.0000111111111111111 Meter per second squared  
There are 3600 seconds in one hour, which means we need to multiply the number of hours by 3600.
1 × 3600 = 3600
Let us find the initial speed v0, subtract the product of acceleration a by time t from the final speed v.
Initial speed v0 = 25/9  (1/90000) × 3600 = 616/225 = 2.73777777777778 Meters per second
Examples of Calculating the Distance Traveled With Rectilinear Uniformly Accelerated Motion
Example 1.
The cyclist left the mountain in 1 minute 10 seconds, moving with a constant acceleration of 0.7 m/s^{2} Calculate the length of the slide if it is known that at the beginning of the descent the speed of the cyclist was 21 km/h. Express the answer in centimeters.
Step by step solution:
Convert kilometer per hour to meter per second
Let's convert kilometers to meters. There are 1000 meters in one kilometer, so we multiply kilometers by 1000.
21 × 1000 = 21000 meters.
Let's convert hours into seconds.
There are 3600 seconds in one hour, which means we need to multiply the number of hours by 3600.
1 × 3600 = 3600
Divide distance by time
v_{0} =  21000 
3600 
= 35/6 = 5.83333333333333 Meters per second  
One minute has 60 seconds, which means we need to multiply the number of minutes by 60.
1 × 60 = 60
Add up the resulting number of seconds
60 + 10 = 70 seconds.
Length L = 35/6 × 70 +  
0.7 × 70^{2}  
2 
= 6370/3 = 2123.33333333333 meters.  
6370/3 × 100 = 637000/3 = 212333.333333333 centimeters.
Length L = 637000/3 = 212333.333333333 centimeters.
See also
 Calculators (Number theory)
 Input rules
 Math Calculator
 Mathematical Expressions Calculator
 Sum Calculator
 Equation Calculator
 Quadratic Equation Calculator
 Write an Equation When Given Its Solutions
 Fraction calculators
 Fraction Calculator
 Common Denominator Calculator
 Simplifying Fractions Calculator
 Improper to Mixed Fraction Calculator
 Mixed Fraction to Improper Calculator
 Raising a Fraction to a Power Calculator
 Compare Fractions Calculator
 Physics Calculators

Mechanics
 Speed Time Distance Calculator
 Acceleration Speed Distance Calculator
 Displacement Time Calculator
 Time Calculator
 Newton's Second Law Calculator
 Gravitational Force Calculator
 Momentum Calculator
 Impulse Calculator
 Object Weight Calculator

Optics
 Light Reflection and Refraction Calculator

Electricity and Magnetism
 Ohm's Law Calculator
 Coulomb's Law Calculator
 Electric Field Strength Calculator
 Point Electric Charge Calculator Q
 Force Acting on Charge Calculator
 Distance From Charge Calculator
 Potential Charge Energy Calculator
 Electric Field Potential Calculator
 Conductor and Sphere Capacitance Calculator

Capacitors
 Capacitance of Parallel Plate, Cylindrical and Spherical Capacitors Calculator
 Electric Field Strength in Parallel Plate, Cylindrical and Spherical Capacitors Calculator
 Voltage (Potential Difference) of Parallel Plate, Cylindrical and Spherical Capacitors Calculator
 Distance Between Plates in Parallel Plate Capacitor Calculator
 Plate Area in Parallel Plate Capacitor Calculator
 Energy Stored in Charged Capacitor Calculator
 Energy Stored in Parallel Plate, Cylindrical and Spherical Charged Capacitors Calculator
 Volumetric Energy Density of Parallel Plate, Cylindrical and Spherical Capacitors Calculator