answer questions

PHY 1001

Unit Two – Motion in 2 and 3 Dimensions

Mathematical Assignment

1. Identify the vector and scalar quantities from the following list. {Temperature, weight, displacement, velocity, speed, time, mass, acceleration}

Key Idea  

Stock of Data

Solution

Sanity Check

2. A hiker walks along the city streets 4.0 km north, then 3.0 km west. What is the magnitude of the resulting displacement vector? 

Key Idea  

Stock of Data

Solution

Sanity Check

3 From the previous problem, what is the direction of the displacement vector in degrees from North? Round to 2 digits.

Key Idea  

Stock of Data

Solution

4. Proceeding from landmark A, a vehicle moves along city streets 10 km north, then 14.2 km northeast, and finally 2 km south, and arrives at landmark B.  What is the distance traveled, and the magnitude of the displacement between the two landmarks?  

Key Idea  

Stock of Data

Solution

Sanity Check

5. From the previous problem, what angle east of north does the displacement vector lie?

Key Idea  

Stock of Data

Solution

Sanity Check

6. Calculate the centripetal acceleration (in m/s2) of a car traveling 20 m/s around a curved road with a radius of 10 m.

Key Idea  

Stock of Data

Solution

Sanity Check

7 A hot air balloon travels 60 degrees north of east at 2 km/hr . In 2 hours time how far eastward and northward will the balloon have traveled?   

Key Idea  

Stock of Data

Solution

Sanity Check

8. A rock is launched with an initial velocity of 10 m/s at an angle of 45 degrees above the horizontal.  What is the horizontal component of its velocity?

Key Idea  

Stock of Data

Solution

Sanity Check

9. A rock is launched over level ground with an initial velocity of 15.0 m/s at an angle of 20 degrees above the horizontal.  What is the projectile’s time of flight?

Key Idea  

Stock of Data

Solution

Sanity Check

10. An inflatable life raft is released from an air plane at 500 m altitude, in level flight, with an air speed of 20 m/s in the horizontal direction.   How long before the raft strikes the water?  How far from the release point does the raft strike the water?

Key Idea  

Stock of Data

Solution

Sanity Check