Back to Exercise: Solve problems with vectors

Exercises: Solve Problems with Vectors

For magnitude computations, give exact values (simplified radicals or integers). Round to the nearest tenth only when the problem states to.

Grade 9·20 problems·~35 min·Common Core Math - HS Number and Quantity·standard·hsn-vm-a-3

Work through problems with immediate feedback

Recall / Warm-Up

Which of the following is a vector quantity?

Temperature

Mass

Force

Time

In a head-to-tail vector diagram for adding $\mathbf{u} + \mathbf{w}$ , where does the tail of $\mathbf{w}$ go?

At the origin

At the tail of $\mathbf{u}$

At the tip (arrowhead) of $\mathbf{u}$

At any convenient point on the grid

A hiker walks 5 km north, then 5 km south, returning to the start. Which statement is correct?

Distance traveled = 0 km; displacement = 10 km

Distance traveled = 10 km; displacement = 0 km

Distance traveled = 10 km; displacement = 10 km

Distance traveled = 0 km; displacement = 0 km

Fluency Practice

Which of the following is the best example of a vector quantity in real life?

The temperature outside is 20°C.

The package weighs 3 kg.

The wind blows at 15 m/s from the northwest.

The race took 45 seconds.

A plane flies at 300 mph heading due east. A crosswind blows at 50 mph due north. How many vector quantities are described?

0 — neither is a vector

1 — only the plane's velocity is a vector

1 — only the wind is a vector

2 — both the plane's velocity and the wind velocity are vectors

A boat heads due north at 6 m/s. A river current flows due east at 8 m/s. In a head-to-tail vector diagram, which arrow is drawn first?

The river current arrow (8 m/s east)

The resultant arrow

The boat's velocity arrow (6 m/s north)

Either arrow — the order does not matter for addition

A boat travels at 6 m/s due north while a river current flows at 8 m/s due east. The two velocities are perpendicular. What is the magnitude of the resultant velocity in m/s?

A plane flies at 400 mph due east. A headwind blows at 300 mph due west (opposite direction). What is the magnitude of the plane's resultant velocity in mph?

You're viewing 2 of 6 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account

0 of 8 answered

Answer all problems to submit.