Solve Example 2.8 by a graphical method. On the same graph, plot position versus time for the car and the trooper. From the intersection of the two curves, read the time at which the trooper overtakes the car. Example 2.8 Watch Out for the Speed Limit! You are driving at a constant speed of 45.0 m/s when you pass a trooper on a motorcycle hidden behind a billboard. One second after your car passes the billboard, the trooper sets out from the billboard to catch you, accelerating at a constant rate of 3.00 m/s 2 . How long does it take the trooper to overtake your car?
Solve Example 2.8 by a graphical method. On the same graph, plot position versus time for the car and the trooper. From the intersection of the two curves, read the time at which the trooper overtakes the car. Example 2.8 Watch Out for the Speed Limit! You are driving at a constant speed of 45.0 m/s when you pass a trooper on a motorcycle hidden behind a billboard. One second after your car passes the billboard, the trooper sets out from the billboard to catch you, accelerating at a constant rate of 3.00 m/s 2 . How long does it take the trooper to overtake your car?
Solve Example 2.8 by a graphical method. On the same graph, plot position versus time for the car and the trooper. From the intersection of the two curves, read the time at which the trooper overtakes the car.
Example 2.8 Watch Out for the Speed Limit!
You are driving at a constant speed of 45.0 m/s when you pass a trooper on a motorcycle hidden behind a billboard. One second after your car passes the billboard, the trooper sets out from the billboard to catch you, accelerating at a constant rate of 3.00 m/s2. How long does it take the trooper to overtake your car?
A bicycle's velocity in the x direction, as a function of time is given by: vx(t) = alpha beta(t2). Alpha and beta are constants.
1.) What is the acceleration as a function of time?
2.) What is the position as a function of time? Assume the initial position at t=0 is y. 3. If alpha = 300m/s and beta = 0.100m/s3 and y = 2.00m, what are the positions, velocities, and accelerations at the locations below?
t(s)
x(m)
v(m/s)
a(m/s2
1
2
5
10
A stone is thrown vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm high.
A.)How much later does it reach the bottom of the cliff?
Express your answer to three significant figures and include the appropriate units.
B.)What is its speed just before hitting?
Express your answer to three significant figures and include the appropriate units.
C.)What total distance did it travel?
Express your answer to three significant figures and include the appropriate units.
Answer the following question(s):
A student sees her physical science professor approaching on the sidewalk that runs by her dorm. She gets a water balloon and waits. When the professor is 2.0s from being directly under the window about 11m from the sidewalk, she drops the balloon. Finish the story.
Instructor Note:
There are several ways to reach the correct answer. I generally solve for time to determine if balloon will hit the professor or not based on the given scenario.
A formula to use is ?=12??2d=12gt2?d = 1 2 g t 2
where d = distance
g = gravitational constant of 9.8
t = time
Chapter 2 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Loose Leaf For Explorations: Introduction To Astronomy
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