A Century Physics student went for a walk. (Oh my, looks like a vector summation problem)

They walked:
East (0 degrees) for 100 meters
North East (45 degrees) for 100 meters
West (180 degrees) for 100 meters
North (90 degrees) for 100 meters.
How far (displacement) are they from where they started? (just the value rounded to one decimal)
What is the direction (just the value rounded to one decimal)
A acrobat gets fired out of a cannon at 40 degrees above horizontal at a speed of 25 m/s.
![]()
What is the initial velocity in the Y direction (value to one decimal)?
What is the initial velocity in the X direction (Vix)
(value rounded to one decimal)?
A acrobat gets fired out of a cannon at 40 degrees above horizontal at a speed of 25 m/s.
![]()
What is the time in the air (value to one decimal)?
A acrobat gets fired out of a cannon at 40 degrees above horizontal at a speed of 25 m/s.
![]()
How far away from the cannon did the acrobat land?
(value to one decimal)?
A soccer player kicks a ball into the air at an angle of 36 degrees above the horizontal.
![]()
The initial velocity of the ball is 30 m/s.
How long is the soccer ball in the air (value to one decimal)?
A soccer player kicks a ball into the air at an angle of 36 degrees above the horizontal.
![]()
The initial velocity of the ball is 30 m/s.
What is the maximum height reached by the soccer ball (value to one decimal)?
A soccer player kicks a ball into the air at an angle of 36 degrees above the horizontal.
![]()
The initial velocity of the ball is 30 m/s.
What is the horizontal distance traveled by the soccer ball
(value to one decimal)?
A punter kicks a football at an angle of 30 degrees from horizontal.
The initial speed of the kick is 30 m/s.

What is the initial velocity in the X direction
(value to one decimal)?
What is the initial velocity in the Y direction
(value to one decimal)?
A punter kicks a football at an angle of 30 degrees from horizontal.
![]()
The initial speed of the kick is 30 m/s.
What is the total time the ball is in the air? (value to one decimal)
A punter kicks a football at an angle of 30 degrees from horizontal.
![]()
The initial speed of the kick is 30 m/s.
What is the maximum height the ball reached? (value to one decimal)
A punter kicks a football at an angle of 30 degrees from horizontal.
![]()
The initial speed of the kick is 30 m/s.
What distance should the punt returner be to catch the ball just before it hits the ground?
The fastest recorded pitch in Major League Baseball was thrown by Nolan Ryan in 1974.
![]()
If this pitch were thrown horizontally, the ball would fall 0.809 m by the time it reached home plate, 18.3 m away.
How fast was Ryan's pitch?
A ball rolls off a horizontal shelf at 2 m/s and falls to the floor 1.8 m below.
![]()
How far from the shelf does the ball land (value to two decimal)?
If a bullet is fired horizontally at a speed of 600 m/s and it lands 200 m away.
at what height was the gun fired (value to two decimal)?
If a bullet is fired horizontally at a speed of 600 m/s and it lands 200 m away.
at what height was the gun fired (value to two decimal)?