# PROJECTILE MOTION ### Features:

The Projectile Motion is a physics software, which facilitates for visualising the 2 dimensional motion (projectile motion) of particle under the influence of earth's gravity. This software also does the calculation for finding the Maximum height, Time of flight and Horizontal Range for a given initial velocity and angle of projectile.

### How to start with Projectile Motion software ? • Open Genius Maker software and click "Projectile Motion" button. It opens the Projectile Motion window.
• You may see the menu titled "Enter the parameters" on the bottom right side corner. By default, it displays the values of Initial velocity as 25 m/s and angle of projectile as 35o
• Click "Play" button.
• You can see that the animation starts and it shows the projectile motion of an object as per the given input.
• You can also see that the bottom left side box shows the important parameters pertaining to this particular case. The software automatically assigns a case serial number to every problem solved and animated.
• You may use the "Pause" button to pause and resume the animation at any time.
• You may use the "Stop" button to stop any running animation.
• "Clear all" button will clear all the existing cases.
• Let us learn to use the software through examples

#### Example - 1

• Find the Maximum height and Range attained by a stone, which was thrown at a velocity of 25 m/s at an initial orientation of 35o from ground.
• Enter the value of 25 in the initial velocity box.

• Enter the value of 35 in the "angle in degree" box.

• Click "Play" button.
• You can see that the animation starts and it shows the projectile motion of an object as per the given input.
• You can also see that the bottom left side box shows the important parameters pertaining to this particular case. It displays the following results
• Initial velocity  = 25 m/s

• Angle = 35 degree
• Maximum Height = 10.48 metre
• Time of flight = 2.923 seconds
• Range = 59.868 metre

• Thus we get the answers to the given problem.

#### Example - 2

• Find the Maximum height and Range attained by a stone, which was thrown at a velocity of 640 cm/s at an initial orientation of 45o from ground. Also find the total time of flight.
• Here the velocity is given as 640 cm/s. The projectile motion software is unit dependent and hence you have to convert the velocity value into m/s. (This can be easily done by using Unit converter software module.) So enter the converted value of 6.4 m/s in the initial velocity box.

• Enter the value of 45 in the "angle in degree" box.

• Click "Clear All" button, if you want to clear any existing cases.

• Click "Play" button.
• You can see that the animation starts and it shows the projectile motion of an object as per the given input.
• You can also see that the bottom left side box shows the important parameters pertaining to this particular case. It displays the following results
• Initial velocity  = 6.4 m/s

• Angle = 45 degree
• Maximum Height = 1.044 metre
• Time of flight = 0.923 seconds
• Range = 4.175 metre

• Thus we get the answers to the given problem.

#### Example - 3

• Find the Maximum height and Range attained by a bullet, which was fired from a gun at a velocity of 0.15 km/s at an initial orientation of 68o from ground. Also find the total time of flight.
• Here the velocity is given as 0.15 km/s. The projectile motion software is unit dependent and hence you have to convert the velocity value into m/s. (This can be easily done by using Unit converter software module.) So enter the converted value of 150 m/s in the initial velocity box.

• Enter the value of 68 in the "angle in degree" box.

• Click "Clear All" button, if you want to clear any existing cases.

• Click "Play" button.
• You can see that the animation starts and it shows the projectile motion of an object as per the given input.
• You can also see that the bottom left side box shows the important parameters pertaining to this particular case. It displays the following results
• Initial velocity  = 150 m/s

• Angle = 68 degree
• Maximum Height = 985.86 metre
• Time of flight = 28.354 seconds
• Range = 1593.253 metre

• Thus we get the answers to the given problem.

#### Example - 4

• Two stones A and B are thrown with the same initial velocity of 20 m/s. Stone A is thrown at an angle of 32o and stone B is thrown at an angle of 58o. What will be the difference in Range attained by these two stones ? What will be the time of flight for these stones ?
• Click "Clear All" button, if you want to clear any existing cases.

• First, let us take the case of stone A

• Enter the value of 20 in the initial velocity box.

• Enter the value of 32 in the "angle in degree" box.

• Click "Play" button.
• You can see that the animation starts and it shows the projectile motion of stone A.
• You can also see that the bottom left side box shows the important parameters pertaining to this particular case. It displays the following results
• Initial velocity  = 20 m/s

• Angle = 32 degree
• Maximum Height = 5.725 metre
• Time of flight = 2.161 seconds
• Range = 36.648 metre

• Now, let us take the case of stone B

• Enter the value of 20 in the initial velocity box.

• Enter the value of 58 in the "angle in degree" box.

• Click "Play" button.
• You can see that the animation starts and it shows the projectile motion of stone B.
• You can also see that the bottom left side box shows the important parameters pertaining to this particular case. It displays the following results
• Initial velocity  = 20 m/s

• Angle = 58 degree
• Maximum Height = 14.662 metre
• Time of flight = 3.458 seconds
• Range = 36.648 metre

• Even though stone A and B have been thrown at different angles, we can see that the range attained by both of them is same, ie., 36.648 metre. Hence the difference in range is ZERO. But the time of flight of stone A is 2.161 seconds and B is 3.458 seconds.

#### Path of Projectile motion for different angles

• You can easily check the path of projectile motion for different preset angles for any value of initial velocity of your choice.
• Just enter any value for initial velocity, say 25 m/s.
• Click "Play preset" button.
• The software will automatically carry out the calculation and animation for a preset orientations of 10o, 20o, 30o, 40o, 45o, 50o, 60o, 70o, 80o and 90o sequentially.

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