Unit 1 Test Review: Kinematics and One-Dimensional Motion

Unit 1 Test Review: Kinematics and One-Dimensional Motion

Lesson 1: Motion- Distance and Displacement

• Distance = position A + position B

• Displacement= vector A - vector B

• If vectors form a right triangle, then use Pythagorean Theorem to calculate the resultant:

   $c^2=a^2+b^2$  

• To solve for c, then use:  $c=\sqrt{a^2\ +\ b^2}$  
  

Multiple Choice

A runner travels around rectangle track with length = 50 meters and width = 20 meters. After travels around rectangle track two times, runs back to starting point.

Determine distance and displacement.

• distance = 280 m

  displacement =30 m

• distance = 70 m

  displacement = 30 m

• distance = 280 m

  displacement = 0 m

Multiple Choice

A man went for a walk the other day. He walked east for 0.80 miles, then west for 1.20 miles, then west 0.20 miles, and finally north 0.40 miles.

What is the distance he walked?

• 2.0 miles

• 2.60 miles

• 0.60 miles

• 7.6 miles

Multiple Choice

A car travels along a straight road 100 m east then 50 m west.

Find distance and displacement of the car.

• distance = 50 m

  displacement= 150 m W

• distance = 200 m

  displacement = 50 m E

• distance= 150 m

  displacement = 50 m NE

Multiple Choice

A person walks 4 meters east, then walks 3 meters north.

Determine distance and displacement.

• distance= 1 m

  displacement = 7 m NE

• distance = 7 m

  displacement = -1 m N

• distance = 7m

  displacement = 5 m NE

Multiple Choice

A participant in a marathon runs west for 10 km and takes a break, then runs 14 km west, and then turns and runs 9 km north to the finish line.

What is the distance and displacement?

• distance = 33 km

  displacement= 25.6 km NW

• distance = 25.6 km

  displacement= 33 km NW

• distance = 35 km

  displacement= -25.6 km NE

Lesson 2: Speed and Velocity

• Speed:   $s=\ \frac{d}{t}$ 
  

• Velocity :   $v=\frac{d_f-d_o}{t_f-t_o}$  or  $v=\frac{x_f\ -x_o}{t_f-t_o}$  
  

• Velocity:   $v=\ \frac{\Delta d}{\Delta t}$  
  

Multiple Choice

What is the speed of a vehicle that travels 20 meters in 5 seconds?

• 15 m/s

• 25 m/s

• 4 m/s

Multiple Choice

What is the distance a car goes if it moves 30 m/s for 6 seconds?

• 5 m

• 180 m

• 36 m

Multiple Choice

How long does it take for a teenager to walk 15 meters if he can walk 3m/s?

• 5 s

• 45 s

• 18 s

Multiple Choice

How long does it take a cougar to run 170 meter if it runs 5m/s?

• 165 s

• 175 s

• 34 s

Multiple Choice

What is the velocity of a car traveling on northbound I-5 that travels 200 meters in 30 seconds?

• 170 m/s S

• 6,000 m/s N

• 6.7 m/s N

Multiple Choice

A Ford Explorer SUV travels East at an average velocity of 25.0 m/s for 3.0 hrs.

What was the total displacement?

• 270,000 m East

• 75 m West

• 28 m E

Multiple Choice

What is the average velocity of a van that moves from 0 to 60 meters East in 20 seconds?

• 120 m/s E

• 3 m/s E

• 80 m/s E

Multiple Choice

A car traveling at 87 km/hr travels East for 200,000m. How much time in seconds does it take this car?

• 8,264 s

• 2,298 s

• 174,000 s

Lesson 3: Graphing Motion and Vectors

• Position vs. Time graphs show velocity

• Velocity vs. Time graphs show acceleration

• Velocity:  $V=\frac{x_f-x_o}{t}$ 
  

• Average velocity:  $V_{avg}=(v_f+v_o)\div2$  

• Acceleration:  $a=\frac{velocity}{time}$  
  

Multiple Choice

What does the slope of the line represent on the position vs. time graph?

• acceleration

• velocity

• displacement

• a jerk

Multiple Choice

Between the time 0s and 4.00s what is the velocity of the object in motion?

• 2 m/s

• 4 m/s

• 8 m/s

Multiple Choice

Between the time 8.00s and 10.00s what is the velocity of the object in motion?

• 2 m/s

• -8 m/s

• 0 m/s

Multiple Choice

At what time period(s) does the object have negative velocity?

• 6s-8s and 14s-16s

• 6s-10s

• 10s-16s

• 4s-10s

Multiple Choice

What does the slope of the line represent on the

velocity vs. time graph?

• acceleration

• velocity

• speed

• displacement

Multiple Choice

What is the acceleration of the line between 0s and 4s?

• 4 m/s²

• 2 m/s²

• 6 m/s²

• 0.2 m/s²

Multiple Choice

At what time periods on the graph is there no acceleration?

• Between points A and B and C and D

• Between points E and F

• Between points O and A and C and D

Multiple Choice

What is the acceleration of the object between points B and C?

• -3.3 m/s²

• 3.3 m/s^2

• 2.0 m/s²

• -6.0 m/s²

Multiple Choice

What is the speed of the object at point E?

• 8 m/s

• 2 m/s

• 5 m/s

• 0 m/s

Multiple Choice

Between points E and F describe the motion of the object.

• constant acceleration

• no acceleration

• negative velocity

• no velocity

Multiple Choice

A treasure hunter was given the following coordinates on a graph of a map: A= (5,0); B=(7,0); C=(0,-6 ); and D=(0,9). Help them find the treasure. What are the resultant coordinates?

• (12, -3)

• (-3, 0)

• (12, 3)

• (0, -3)

Multiple Choice

A treasure hunter was given the following coordinates on a graph of a map: A= (5,0); B=(7,0); C=(0,-6 ); and D=(0,9). Help them find the treasure. What are the magnitude and direction based on the vectors?

• 12 NW

• 12.4 NE

• 6 E

• -3 NE

Multiple Choice

The river flows east at 7.0 m/s. A boat is rowed directly north across the river at 5.3 m/s. What is the velocity of the boat if it is also affected by the flow of the river?

• 8.8 m/s

• 13.3 m/s

• 1.32 m/s

• 12.3 m/s

Lesson 4: Acceleration

• Acceleration:  $a=(v_f-v_o)\div(t_f-t_o)$  
  

•  $a=\ \frac{\Delta v}{t}$  

Multiple Choice

What is the acceleration of a car that goes from 0m/s to 60m/s in 6 seconds?

• 60 m/s²

• -10 m/s²

• 10 m/s²

• 30 m/s²

Multiple Choice

What is the deceleration of a bicycle that goes from 40m/s to 20m/s in 5 seconds?

• -4 m/s²

• 20 m/s²

• -10 m/s²

• 60 m/s²

Multiple Choice

What is the acceleration of a car that goes from 50m/s to 50m/s in 2 seconds?

• 10 m/s²

• 5 m/s²

• 100 m/s²

• 0 m/s²

Multiple Choice

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled had an average velocity of 444m/s E and its acceleration was 243m/s². What was the total time it was in motion?

• 1.83 s

• 2.43 s

• 107,892 s

• 0 s

Multiple Choice

A subway train accelerates from rest to 40.0 km/hr in 27 s. What is the average acceleration during that time interval?

• 0.214 m/s²

• 1080 m/s²

• 42.7 m/s²

• 0.412 m/s²

Multiple Choice

The same subway train slows from 40.0 km/hr to stop in 9 s. What is the average acceleration during that time interval?

• -1.23 m/s²

• 1.23 m/s²

• -4.44 m/s²

• 360 m/s²

Lesson 5: Kinematics and Acceleration Equations

• Initial Velocity: v_{o (m/s)}

• Final Velocity: v_{f (m/s)}

• Displacement: d or x (m)

• Acceleration: a= m/s²

• Time: t (s)

Multiple Choice

A car starts from rest and accelerates uniformly over a time of 6.57 seconds for a distance of 132 m E. Determine the acceleration of the car.

• 4.2 m/s²

• 6.11 m/s²

• 6.57 m/s²

• 20.0 m/s²

Multiple Choice

It was once recorded that a Jaguar left skid marks that were 287 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.85 m/s2, determine the speed of the Jaguar before it began to skid.

• -74.5 m/s

• 28.7 m/s

• -47.0 m/s

• 47.0 m/s

Multiple Choice

A plane has a takeoff velocity of 79.3 m/s and requires 1378 m to reach that speed. Determine the acceleration of the plane required to reach this velocity.

• 2.09 m/s²

• 2.29 m/s²

• -2.09 m/s

• 34.6 m/s²

Multiple Choice

A plane has a takeoff velocity of 79.3 m/s and requires 1378 m to reach that speed. Determine the time required to reach this velocity.

(Hint: must find acceleration first)

• 2.29 s

• 17.4 s

• 34.6 s

• 109,275 s

Multiple Choice

A bullet leaves a rifle with a muzzle velocity of 640 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.930 m. Determine the acceleration of the bullet (assume a uniform acceleration).

• 220,215 m/s²

• 2.29 m/s²

• 595.2 m/s²

• 688.2 m/s²