Motion in 2D

A dog searching for a bone walks 5.40 m north, then 9.10 m at an angle 30.0° west of north, and finally 5.8 m east. Find the dog's resultant displacement vector, using analytical techniques. 

• 13.54 m at 84.6° north of east
• 10.17 m at 18. 7° north of east
• 13.34 m at 84.6° north of east
• 3 m at 30° north of east

A cannon shoots a cannon ball off the ground at an angle 67° north of east with an initial velocity of 1400 feet per second. Find the time the cannon hits the ground. 

• 40.27 s
• 90.15 s
• 2 s
• 80.54 s

You and your friend are both standing on a building while both holding a ball. Your friend drops the ball and you throw the ball horizontally. Which ball hits the ground first?

• The dropped ball 
• Both land at the same time
• The thrown ball 
• trick question. Neither ball landed because it was a dream!

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NGSS.HS-PS2-1

A child chucks a melon strait into the air at 30 m/s. Ignoring air resistance, how long is the melon in flight before it hits the ground. 

• 5.5 sec
• 18 sec
• 7.0 sec
• 6.1 sec

The pilot of a plane measures an air velocity of 165 km/h south relative to the plane. An observer on the ground sees the plane pass overhead at a velocity of 145 km/h towards to the north. What's the velocity of the wind that is affecting the plane relative to the observer?

• 20 km/h to the north

• 20 km/h to the south

• 165 km/h to the north

• 310 km/h to the south

A glofer takes two putts to sink his ball in the hole once he is on the green. The first putt displaces the ball 6.00 m east, and the second putt displaces the ball 5.40 m south. What displacement would put the ball in the hole in one putt?

• 11.40 m southeast

• 8.07 m at 48.0° south of east

• 3.32 m at 42.0° south of east

• 8.07 m at 42.0° south of east

How would you find the direction of a vector that has an x component of 8 N and a y component of 6 N?

• Square Root of (8^2 + 6^2)

• Square Root of (8^2 - 6^2)

• Tan^-1 (8/6)

• Tan^-1 (6/8)

A detective is searching for a dead body. He walks 6m north and then walked 5m at a angle of 40 degrees north of east. He then walks 17m west. Find the detective's displacement vector.

• he dose not move
• 16.07 at 35 degrees north of west
• 16.58m at 33.9 degrees north of west
• not enough information

A pool ball leaves a 0.55-meter high table with an initial horizontal velocity of 2.7 m/s. Calculate the horizontal distance (x) between the table's edge and the ball's landing location.

• 0.796 m

• 0.904 m

• 1.176 m

• 1.343 m

A bullet is fired horizontally at a height of 1.3 meters at a velocity of 950 m/s. Assume no air resistance. How far did the bullet travel horizontally when it hit the ground?

• 252.04 m
• 489.32 m
• 126.02 m
• 346.00 m