Vector Addition

An airplane flies due north at 150 km/h with respect to the air. There is a wind blowing at 75 km/h due east. What are the plane's speed with respect to the ground?

• 167.7 km/h at 26.6 degrees north of east

• 225 km/h at 26.6 degrees east of north

• 167.7 km/h at 63.4 degrees north of east

• 129.9 km/h at 63.4 degrees north of east

• 129.9 km/h at 26.6 degrees east of north

A Frisbee that flies at a speed of 1.8 m/s north relative to the air encounters a tailwind that travels at 1.2 m/s. What are the speed and direction of the Frisbee relative to the ground?

• 0.60 m/s north

• 0.60 m/s at an 45 degrees north of east.

• 3.0 m/s north

• 0.60 m/s south

• 3.0 m/s south

Tags

NGSS.HS-PS2-1

A car moving east at 45 km/h turns and travels south at 30 km/h. What is the magnitude and direction of the resultant velocity?

• 54.1 km/h at 33.7 degrees south of east

• 75 km/h east

• 54.1 km/h at 56.3 degrees south of eat

• 75 km/h south

• 15 km/h at 47 degrees east of south

A boat is rowed directly upriver at a speed of 2.5 m/s relative to the water. Viewers on the shore find that it is moving at only 0.5 m/s relative to the shore. What is the speed of the river (current)? Is it moving with or against the boat?

• 3.0 m/s against the boat

• 3.0 m/s with the boat

• 2.0 m/s against the boat

• 0.5 m/s with the boat

• 2.0 m/s with the boat

A motorboat heads due east at 11 m/s relative to the water across a river that flows due north at 5.0 m/s. What is the velocity of the motorboat with respect to the shore?

• 12.1 m/s at 24.4 degrees north of east

• 146.0 m/s at 65.6 degrees east of north

• 146.0 m/s 24.4 degrees east of north

• 12.1 m/s at 65.6 degrees north of east

• 16.0 m/s north

Zoe steps onto the moving walkway at the airport. Relative to the walkway, she walks forward with a speed of 1.4 m/s. Relative to the ground, the walkway moves at forward at a speed of 0.8 m/s. What is Zoe's speed and direction relative to the ground?

• 0.6 m/s forward

• 1.4 m/s forward

• 2.2 m/s forward

• 0.6 m/s backwards

• 2.2 m/s backwards

What are the components of a vector of a magnitude of 1.5 m at an angle of 35 degrees north of east.

• x: 0.9 m; y: 1.2 m

• x: 0.4 m; y: 0.5 m

• x: 0.8 m; y: 0.6 m

• x: 0.5 m; y: 0.4 m

• x: 1.2 m; y: 0.9 m

Find the horizontal and vertical components of a vector force vector with a magnitude of 17 N at an angle of 67 degrees west of north

• x: -6.6 N; y: 15.6 N

• x: -15.6 N; y: 6.6 N

• x: 15.6 N; y: -6.6 N

• x: 0.02 N; 0.5 N

• x: 0.9 N; y: 0.4 N

A hiker walks 14.7 km at an angle of 35 degrees south of east. Find the east and south components of his walk.

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Tags

NGSS.HS-PS2-1