1-D Motion
A jogger runs 3 km due East, then 1 km due West. What is the total distance traveled, and what is the displacement?
Total distance = 4 km
Total displacement = 2 km East
On a position vs. time graph, what physical quantity does the slope of the line represent?
The velocity
A ball is dropped from rest. Using g = 9.8 m/s2, what velocity does it have after 2.0 s?
-19.6 m/s
A vector has an x-component of 3 and a y-component of 4. What is its magnitude?
5
What is the first or second step (if you consider reading a problem the first step) of solving a physics problem?
Draw a picture
A car speeds up uniformly from rest to 25 m/s in 10 s. What is its acceleration?
2.5 m/s2
On a velocity vs. time graph, what does the slope represent?
Acceleration
A ball is thrown straight up. At the very top of its path, what is its velocity, and what is its acceleration?
a = -9.8 m/s2
For a projectile in flight (ignoring air resistance), describe the horizontal and vertical accelerations.
Horizontal a = 0 m/s2
Vertical a = -9.8 m/s2
How many significant figures are in 0.0045082?
5
A car moving at 30 m/s brakes at a steady 6 m/s2. How long does it take to stop, and how far does it travel while stopping?
Time: 5 s
Distance: 75m
A straight line on a position vs. time graph of a system passes through the points (0 s, 2 m) and (4 s, 10 m). What is the velocity of the system?
2 m/s
A rock is dropped from rest off a cliff and hits the ground 3.0s later. How tall is the cliff?
44.1 m
A ball is thrown horizontally at 15 m/s from a 20 m high cliff. How long is it in the air before it lands?
2.0 s
Put the number, 4,598,230.45, into scientific notation, rounded to 4 significant digits.
4.598 x 106
A train traveling at 20 m/s must stop within 100 m to avoid an obstacle. What is the minimum acceleration required to achieve this?
-2 m/s2
A straight line in a velocity vs. time graph of a system passes through the points (0 s, 5 m/s) and (10 s, 35 m/s). What is the acceleration of the system?
3 m/s2
A ball is thrown straight up at 20 m/s. What is the maximum height it reaches?
20.4 m
A ball rolls horizontally off a 1.8 m high table at 4.0 m/s. How far from the base of the table does it land?
2.4 m
Convert 23.5 mph to km/s.
~ 0.0109 km/s
A car accelerates from rest at 3 m/s2 for 4 s, then travels at constant velocity for 6 more seconds. What total distance does it cover?
96 m
Look at this position vs. time graph, when is the acceleration 0, positive, and negative?
The acceleration is negative throughout the entire graph.
A ball is dropped from rest and hits the ground after 4.0 s. Find (a) the height it fell from and (b) its velocity just before impact.
(a) 78.4 m
(b) -39.2 m/s
A projectile is launched at 25 m/s at 30o above the horizontal. Find the horizontal and vertical components of its initial velocity.
vx = 22 m/s
vy = 13 m/s
If a vector has a magnitude of 7.5 m, and a side adjacent to the angle, A, with a magnitude of 3.4 m, what is the angle measure of A?
63o