Kinematics 1-D Review
Identify the following as either a scalar or a vector.
a. 5 m
_____________________
b. 30 m/s East
_____________________
c. 5 mi North
_____________________
d. 20°C
____________________
e. 256 bytes
_____________________
f. 40000 Calories _____________________
Distance and Displacement
-________________ is a scalar quantity that refers to how far an object has moved or changed position.
-Displacement is a __________________ quantity.
-Displacement is ______________________.
-The unit for measuring distance and displacement is ________________________.
How to solve for displacement:
-Write the formula for displacement and name each variable.
∆X = ________________ Xf = ________________
Xi = ________________
Speed
-_________________ is the distance an object travels per unit of time.
-Speed is a _____________ quantity.
-Write the formula for calculating average speed and name for each variable.
-Write the unit for speed. ______________________
-__________________ describes the motion of an object when its velocity is changing.
Velocity
-_______________ the rate at which an object changes its position plus the direction of the change of position.
-Velocity is a ______________ quantity.
-______________________ is an object’s total displacement divided by the time interval during which the
displacement occurred.
-Write the formula for average velocity and name each variable.
-The unit for average velocity is _________.
-Velocities with a direction to the East (right) or North (up) are ________________.
-Velocities with a direction to the West (left) or South (down) are ________________.
-When two objects move in the same direction, their velocities have the ____________ sign.
-When two objects move in the opposite direction, one object will have ______________ direction and the other
will have a ________________ direction.
Acceleration
-_________________ is the rate at which an object changes its velocity.
-Acceleration is a _________________ quantity.
-The formula for acceleration is…
Vf = __________________
Vi = _____________________
t = __________________
The units for acceleration are ______________.
Kinematics Practice Problems
A child is pushing a shopping cart at a speed of 1.5 m/s. How long will it take this child to push the cart down an
aisle with a length of 9.3 m?
A bus travels from El Paso, TX to Chihuahua, Mexico in 5.2 hours with an average velocity of 73 km/h to the south.
What is the bus’s displacement?
Nathan accelerates his skateboard uniformly along a straight path from rest to 12.5 m/s in 2.5 second.
a. What is Nathan’s acceleration?
b.
What is Nathan’s displacement during this time interval?
c.
What is Nathan’s average velocity during this time interval?
A ski boat travels 12.0 m while it reduces its velocity from 10.5 m/s to 6.5 m/s. What is the magnitude of the boat’s
acceleration while it travels the 12.0 m?
A car traveling in a straight line has a velocity of +5 m/s. After an acceleration of 0.75 m/s 2, the car’s velocity is +8
m/s. In what time interval did this acceleration occur?
The graph below shows the velocity of a race car moving along a straight line as a function of time. What is the
magnitude of the displacement of the car from t = 1.0 seconds to t = 4.0 seconds? Use the x and y axis to find
value to plug into the formula
*hint: use the formula d = ½(Vf + Vi)t
A car moving westward along a straight, level road increases its velocity uniformly from +16 m/s to +32 m/s in 10
seconds.
a. What is the car’s acceleration?
b.
How far did it move while accelerating?
A snowmobile has an initial velocity of +3 m/s.
a. If it accelerates at the rate of +0.5 m/s2 for 7 seconds, what is the final velocity?
b.
If it accelerates at the rate of -0.6 m/s2, how long will it take to reach a complete stop?