2016+Motion+in+1D+Practice+Test

= Unit One Practice Test =

__ Unit Conversion __
1) Convert 35 miles per hour to m/s.



2) Convert 2 cm/s to km/year.



3) Convert 4.5 x 10^4 nm/ms to km/ks



Solving for Variables
6) Solve the full distance formula for acceleration. Use "delta d" in your final equation.



7) Imagine a right triangle with sides A, B, and C (the hypoteneus). Find the formula for the sine of angle between side C and A without using the variable C in your equation.



Distance/Displacement/Angle Activity Problem
If Chip goes 4 meters south, 10 meters east, 2 meters south, up a flight of stairs 5 meters wide and 7 meters high (still going south), 1 meter south, and 3 meters east, what is his total distance, displacement (total, not just in the XY plane), and angle of inclination?



__Basic Velocity Problems__
8) How long does it take for an object traveling 50 m/s to travel 1.76 km?

9) If you want to travel a distance of 1500 km in 1.5 days, how fast do you need to travel on average?



__Basic Acceleration Problems__
10) What is the acceleration of a car that can go from 0 m/s to 50 m/s in 4.25 seconds?

11) An object starts from rest and accelerates at 3.4 m/s^2 until it reaches a velocity of 54.5 m/s. What distance did it cover in that time?



= __Motion Problems with the Quadratic Formula__ =

13) If you toss a softball up at 10m/s from an initial distance of 1 m, how long before it hits the ground? How high does it go?



Follow-up question: At what time is the softball at a height of 3.75 meters? (really think about what the quadratic tells you on this one...)



14) A car with starts from rest and accelerates at 17 m/s^2 at the same time another car 3000 m away is on a crash course at a constant velocity of 40 m/s. When and where does the crash happen?



Follow-up question: Imagine the car above has trouble starting and it takes 4 seconds before it begins to accelerate. When and where does the collision take place then?



=ADDITIONAL QUESTIONS:=

__Conceptual Questions__
 * 1) What is the difference between a scalar quantirty and a vector quantity? Give two examples of each
 * 2) How can you be accelerating if your speed isn't changing?
 * 3) Why ia "34 degrees" an insufficient answer to a directional (theta) question? What is it missing?

__Practice Problems__


 * 1) K = 1/2*mv^2 solve for v
 * 2) A cockroach is crossing a 2 meter wide table at 0.05 m/s at the same time a beetle is crossing in the opposite direction at 0.03 m/s. Where do they meet on the table and how long does it take?
 * 3) An old car starts from rest and accelerates at 6.7 m/s2 until it reaches a speed of 55 miles per hour. What was the distance traveled? (1 mile = 1.6 km)
 * 4) A police cruiser watches a speeder pass him going a constant 85 miles per hour. If the cop car immediately accelerates at 24.5 m/s2, how long does it take to catch the speeder and how far down the road is it? (1 mile = 1.6 km)
 * 5) A cannon is shot off the edge of a 300 meter cliff directly into the air at 170 m/s. How long does it take for the cannonball to hit the ground? What velocity is it when it hits the ground? What is the maximum height?
 * 6) A baseball is thrown directly into the air from an initial height of 2 meters at a velocity of 20 m/s. At what time(s) is the baseball moving at one-third the speed of the initial throw? When will the ball pass the 3.5 meter mark?
 * 7) An object is thrown downward off the edge of a cliff from a total height H. How high does the initial height have to be so that the object hits the ground with a velocity exactly five times the initial?