Vector in motion under 2D

Priyanka walks 2 miles north and turns west and walks 2 miles. What is Priyanka's general displacement?

• 4 miles northeast

• 4 miles northeast

• 3 miles northwest

• 3 miles southeast

Pranjal and Khushi are trying to find the distance from the base of a right-angled triangle to the top of the triangle. If the two sides of the triangle are 3 m and 4 m, they will need to....

• Multiply

• Divide

• Pythagorean Theorem

• Use trigonometry

Khushi and Pranjal are playing a game where they need to find the resultant vector, r, after moving 3 units north and 4 units east. What is the magnitude of the resultant vector, r?

• 3

• 4

• 5

• 7

Gautam is trying to find the direction of a rope that is pulled 45 cm at an angle of 30 degrees from the East towards the North. Which of the following describes the vector of the rope?

• 45 cm

• 45 cm at 30 degrees North of East

• 45 cm at 30 degrees East of North

• 45 cm North East

Drishti is trying to find the distance she needs to walk to reach a point in the park. If her walk has a y component of 12 units (upwards) and an x component of 7 units (to the right), which would allow her to solve for the MAGNITUDE of her walk?

Meeta and Pranjal are playing a game where they have to move in different directions. Meeta moves 10 units up while Pranjal moves 5 units down. What is the resultant of their movements?

• +5

• -5

• +15

• -15

Daisy and Rishiraj are working on a project that involves building a ramp for their school's science fair. They need to find the measure of the angle (?) at the top of the ramp, which is 28 units high and 23 units long. Can you help them find the angle, rounding to the nearest tenth?

• 9.4

• 55.2

• 20.15

• 19.4

Pranjal is flying a kite in a park. The kite is positioned such that it has an x component of 12 units and a y component of 7 units. What is the magnitude of the kite's string, represented as vector A?

• 19 units

• 13 units

• 14 units

• 193 units

Meeta is playing with her toy car. The car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south.  What is the magnitude and direction  of the car's resultant displacement?  

• 40 metres, South

• 50 metres, South

• 50 metres, North

• 40 metres, North 

Rishiraj is observing the weather and notes that the wind is blowing at 20 knots. He wonders, is this a scalar quantity or a vector quantity?

• Scalar

• Vector