Name:______Date:______Hour:______

You must have your full name, date, and hour on every page of the quiz. Failing to put this information on any page will result in that page not being scored. Complete the following questions to the best of your ability. Any quantitative answers must be boxed and include the correct units

  1. Define each of the following terms. If you use math language you must translate each symbol/variable.
  2. Vector

Solution / Grading
A vector is any quantity that has magnitude and direction / magnitude- 1 pt
direction- 1 pt
  1. Scalar

Solution / Grading
A scalar is any quantity that has magnitude / magnitude- 2 pts
1 pt was deducted for saying direction or any other contradictory information
  1. Displacement

Solution / Grading
The displacement is the length between the final and initial position. The path between the final and initial position does not matter.
OR
Δx=xf-xi
Δ: change x: position (Δx: displacement could also be used) xf: final position xi: initial position / length between final and initial position- 2 pts
specifying path does not matter- 1 pt
giving the math definition with at least one part correctly translated- 1 pt
having multiple (but not all) parts correctly translated- 1 additional pt
having all parts correctly translated- 1 additional point
  1. Distance

Solution / Grading
the total length travelled along a path of motion / indicating the length measured is path dependent- 2 pts
  1. Average Acceleration

Solution / Grading
Acceleration is the rate of change of the velocity vector
OR
aavg=
aavg: average acceleration Δv: change in velocity Δt: change in time (also accepted time) / rate- 1 pt
change- 1 pt
specifying velocity is changing- 1 pt
giving the math definition with at least one part correctly translated- 1 pt
having multiple (but not all) parts correctly translated- 1 additional pt
having all parts correctly translated- 1 additional point
  1. A driver is moving at 55 miles per hour southbound on I-35. What could the driver do to cause the car to accelerate?

Solution / Grading
Acceleration is a change in velocity. Velocity is a vector. The ways to change a vector are to change the magnitude, change the direction, or change both magnitude and direction.
to change the direction a driver could turn the steering wheel or put the car in reverse
to change the magnitude of the velocity the driver could increase the speed of the car by pushing the gas pedal down further OR to decrease the speed of the car the driver could apply the brake. / giving a specific action that would cause a change in the direction of the car- 1 pt
giving a specific action that would increase the cars velocity- 1 pt
giving any action that would decrease the cars velocity- 1 pt
  1. John is traveling along the highway. He notices that he is currently at mile marker 245. John travels until he reaches mile marker 135. He then retraces his path to mile marker 173.
  2. What is John’s resultant displacement?

Solution / Grading
Δx=xf-xi
xf= 173 mi
xi= 245 mi
Δx = xf-xi = 173-245
Δx = -72 mi / correct math definition and an attempt at work- 1 pt
correctly listing values- 1 pt
correct answer boxed with units- 1 pt
  1. What is the distance John has travelled?

Solution / Grading
d= l Δx1 l + l Δx2 l
Δx=xf-xi
Δx1 = 135-245 = -110 mi
Δx2= 173-135 = 38 mi
d= l Δx1 l + l Δx2 l = l -110 l + l 38 l = 110 + 38 = 148
d= 148 mi / correcting solving for Δx1- 1 pt
correcting solving for Δx2- 1 pt
adding the absolute values of Δx1andΔx2- 1 pt
correct answer boxed with units- 1 pt
  1. You run a distance of 210 m in 16 s and then walk at a speed of 1.8 m/s for 12 s.
  2. What was your average speed for the first part of motion?

Solution / Grading
savg=
savg= ?
d= 210 m
Δt= 16 s
savg= = = 13.13 m/s / correct math definition and an attempt at work- 1 pt
correctly listing values- 1 pt
correct answer boxed with units- 1 pt
  1. How far did you walk for the second part of motion?

Solution / Grading
savg=
savg= 1.8 m/s
d= ?
Δt= 12 s
savg=
xΔt xΔt
savgxΔt = d = 1.8 x 12 = 21.6 m / correct math definition and an attempt at work- 1 pt
correctly listing values- 1 pt
correctly solving for d using algebra (point was not awarded if student substituted values before completing algebra)- 1 pt
correct answer boxed with units- 1 pt
  1. What is your average speed for the entire set of motion?

Solution / Grading
savg= Δx= Δx1+Δx2 =210 +21.6 = 231.6 m
Δt= Δt1+Δt2 =16 + 12 = 28 s
savg= ?
d= 231.6 m
Δt= 28 s
savg= = =8.271 m/s / correct math definition and an attempt at work- 1 pt
correctly adding displacements- 1 pt
correctly adding times- 1 pt
correct answer boxed with units- 1 pt
  1. Mario can sprint at a speed of 7.0 m/s. How much time does it take Mario to travel 29 meters?

Solution / Grading
savg=
savg= 7 m/s
d= 29 m
Δt= ? s
savg=
xΔt xΔt
savgxΔt = d
÷savg ÷savg
Δt== 4.143 s / correct math definition and an attempt at work- 1 pt
correctly listing values- 1 pt
correctly solving for Δt using algebra (point was not awarded if student substituted values before completing algebra)- 1 pt
correct answer boxed with units- 1 pt
  1. A car has a velocity of +9.5 m/s. After 3.5 s the car’s velocity is +4.3 m/s. What is the average acceleration of the car?

Solution / Grading
aavg=
aavg= ?
vf= 4.3 m/s
vi= 9.5 m/s
Δt= 3.5 s
aavg= = = = -1.486 m/s2 / correct math definition and an attempt at work- 1 pt
expanding Δv into vf and vi- 1 pt
correctly listing values- 1 pt
correct answer boxed with units- 1 pt
  1. A treadmill is set to a pace of 2.5 m/s. If the treadmill is set to constantly accelerate at 0.08 m/s2 what will be the speed of the treadmill after 2 min?

Solution / Grading
aavg=
aavg= 0.08 m/s2
vf= ?
vi= 2.5 m/s
Δt= 2 min = 120 s
aavg=
xΔt xΔt
aavgxΔt = vf-vi
+vi +vi
(aavgxΔt)+vi = vf = (0.08 x 120) + 2.5 = 12.1 m/s / correct math definition and an attempt at work- 1 pt
expanding Δv into vf and vi- 1 pt
correctly listing values except Δt- 1 pt
converting Δt from 2 min to 120 s- 1 pt
*bonus opportunity* showing the correct dimensional analysis process to convert Δt- 2 pts
correct algebra to solve for vf before substituting values- 1 pt
correct answer boxed with units- 1 pt
  1. Using the process of dimensional analysis convert 25 ms to s

Work / Points
25ms 0.001 s 0.025ms m
______x ______= ______= 0.025 s
1 1 ms 1 ms / Original value and units over 1- 1 pt
Numbers on the conversion factor correct- 1 pt
Conversion factor units correct- 1 pt
Multiplying through & showing cancelling- 1 pt
Correct answer & units- 1 pt
  1. Write the following numbers in scientific notation
  2. 0.015

Solution / Grading
1.5 x 10-2 or 15 x 10-3 or 150 x 10-4 / any correct answer- 1 pt
  1. 7,500

Solution / Grading
7.5 x 103 or 75 x 102 or 750 x 101 / any correct answer- 1 pt
  1. Rewrite the values given in scientific notation below as normal numbers
  2. 37x10-5

Solution / Grading
0.000 37 / correct answer- 1 pt
  1. 3x104

Solution / Grading
30,000 / correct answer- 1 pt

If you finish the quiz early use the space below to doodle something.