Physics II

Extra projectile practice

 

Use the data in the yellow cells to find the values in the plain cells.

 

For this first set, use the muzzle speed and the angle of release to find the initial x and y velocity components.  The y component can be used to find the time aloft.  The Time aloft and the x velocity component can be used together to get the total distance traveled.

 

Angle
of Release

Muzzle Speed
(m/s)

Y Component of Initial Velocity
(m/s)

X Component of Initial Velocity
(m/s)

Total Time aloft
(s)

Total Horizontal
Distance Traveled (m/s)

70

3

2.82

1.03

0.58

0.590315152

50

3.5

2.68

2.25

0.55

1.231009691

60

4

3.46

2.00

0.71

1.413919027

40

4.5

2.89

3.45

0.59

2.034934388

35

5

2.87

4.10

0.59

2.397175053

27

5.5

2.50

4.90

0.51

2.497220824

19

6

1.95

5.67

0.40

2.261613583

 

 

For this second set, imagine that you launched a projectile directly upward, and that it reached the height shown.  Use that max height to calculate muzzle (initial) speed.  Then use that initial speed and the angle of release to find the x and y components of initial velocity.  The y component can be used to find the time aloft.  The time aloft and the x velocity component can be used together to get the total distance traveled.

 

Max Height
Attained When Fired Vertically (m)

Angle
of Release

Muzzle Speed
(m/s)

Y Component of Initial Velocity
(m/s)

X Component of Initial Velocity
(m/s)

Total Time aloft
(s)

Total Horizontal
Distance Traveled (m/s)

1

70

4.427188724

4.16

1.51

0.85

1.285575219

1.5

50

5.422176685

4.15

3.49

0.85

2.954423259

2

60

6.260990337

5.42

3.13

1.11

3.464101615

2.5

40

7

4.50

5.36

0.92

4.924038765

3

35

7.668115805

4.40

6.28

0.90

5.638155725

3.5

27

8.282511696

3.76

7.38

0.77

5.663118961

4

19

8.854377448

2.88

8.37

0.59

4.925291803