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Chapter Two Formulas
Homework problems and formulas used to solve them
9
Physics
Undergraduate 2
10/02/2016

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Term
Average speed: distance traveled/elapsed time

Average velocity: Delta X/Delta T
(Velocity in this case is zero because delta x (change in position) is zero. It is zero because the runner in running on a track.)
Definition
A person jogs eight laps around a 400 meter track in 15.5 minutes.

Calculate the average speed in m/s

Calculate the average velocity
Term
Velocity is the greatest on the graph where it peaks the highest.

Velocity is constant when it is just a straight line on a graph.

Acceleration is constant when the line either makes a straight line or is making a linear line.

The greatest magnitude will occurs at the largest linear line.
Definition
Graph is given:

At what time is velocity the greatest?

At what times is velocity constant?

At what times was the acceleration constant?

When was the magnitude the greatest?
Term
Formula: y=y0+v0t-1/2(g)(t)^2

105=y
5.14=v0

Plug in all information, solve quadratic formula.
Definition
A helicopter is ascending vertically with a speed of 5.14 m/s. At a height of 105 m above the Earth, a package is dropped from the helicopter.

How much time does it take for the package to reach the ground?
Term
Formula: v=d/t

rearrange formula to solve for t, convert units into meters/seconds, solve and then convert answer into minutes.
Definition
A bird can fly 28 km/h .

How long does it take to fly 2.9 km?
Term
Formula: d=vt
1. figure out distance traveled by car
Formula: d=L*V*T
2. figure out distance traveled by train
3. combine two formulas
4. solve
Formula= d=v*t
5. solve
Formula: d=L-V*t
6. solve
Formula: d=vt
7. solve
Definition
An automobile traveling 95 km/h overtakes a 1.70 km -long train traveling in the same direction on a track parallel to the road.

If the train's speed is 75 km/h, how long does it take the car to pass it?

How far will the car have traveled in this time?

How long does it take the car to pass the train if the car and train are traveling in opposite directions?

How far will the car have traveled in this time?
Term
Formula: velocity= delta x/delta t
130=delta x
4.9=delta t

solve for velocity

acceleration= velocity/time (time = 4.5)

solve for acceleration.

G's= acceleration/9.80

solve.
Definition
A sports car moving at constant velocity travels 130 m in 4.9 s.

If it then brakes and comes to a stop in 4.5 s , what is the magnitude of its acceleration (assumed constant) in m/s^2?

Express the answer in terms of "g's," where g=9.80
Term
Average velocity= x-x0//t-t0
x=370, x0=22
t=20, t0=3

average acceleration= v-v0//t-t0
v=41, v0=10
t=20, t0=3

solve
Definition
A car moving in a straight line starts at x = 0 at t = 0 . It passes the point x = 22.0 m with a speed of 10.0 m/s at t = 3.00 s . It passes the point x = 370 m with a speed of 41.0 m/s at t = 20.0 s .

Find the average velocity between t = 3.00 s and t = 20.0 s .

Find the average acceleration between t = 3.00 s and t = 20.0 s .
Term
acceleration= (v-v0)^2//2(x-x0)

solve
Definition
A baseball pitcher throws a baseball with a speed of 38 m/s . In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5 m, from behind the body to the point where it is released

Estimate the average acceleration of the ball during the throwing motion.
Term
Calculate acceleration: a=v-v0/t

Calculate displacement: x=x0+v0t+1/2at^2

combine
Definition
A space vehicle accelerates uniformly from 90 m/s at t = 0 to 166 m/s at t = 10.0 s .

How far did it move between t = 2.0 s and t = 6.0 s ?
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