Unit Conversion/Signifcant Figure work
Free Fall
One Dimensional Motion (Kinematics)
graphical
interpretation
interpretation
Vectors
100
The speed limit on highway i-10 is 100 km/hr ...
A) what is this in meters per second
B) how many MPH is this?
what is...
a. 27.8m/s
b. 62.1mph
100
a ball is thrown straight up with an initial velocity of 15.0 m/s, Calculate the displacement and velocity at times:
a. 0.500 s
b. 1.00 s
c. 1.50 s
d. 2.00 s
a y1= 6.28 m , v1=10.1 m/s
b y1 = 10.1 m , v1 = 5.20 m/s
c y1 = 11.5 m , v1 = .300 m/s
d y1 = 10.4 m , v1 = - 4.60 m/s
100
A ball is caught in a mitt. If the deceleration of the ball is 2.10×104 m/s2 and 1.85 ms elapses from the time the ball first touches the mitt until it stops, what was the initial velocity of the ball?
what is the mph?
HINT:
ms= milliseconds
1 ms= 10-3 seconds
38.9 m/s
about 87 miles per hour
100
a) By taking the slope of the curve in Figure, verify that the velocity of the jet car is 115 m/s at t=20.
b) By taking the slope of the curve at any point in Figure, verify that the jet car’s acceleration is 5.0 m/s.
a) 115 m/s
b) 5 m/s
100
Use the inverse tangent function to find the distance angle (theta)
-34 DEGREES or 34 degrees below.
200
The Dynamo Soccer fields is 115 m long and 85 m wide. What are its dimensions in feet and inches?
Hint: Scientific Notation is helpful when dealing with large numbers.
length: 377ft & 4.53×103 in
width: 280ft & 3.3×103in
200
The basketball referee tosses the ball straight up for the starting tip-off. At what velocity must a basketball player leave the ground to rise 1.25 m above the floor in an attempt to get the ball?
v0=4.95m/s
200
A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 6.20×105 m/s for 8.10 x 10-4 sec. What is the final velocity?
502.2 m/s
200
calculate the slope of the curve in Figure to verify that the velocity at t=10.0s is 0.208 m/s. Assume all values are known to 3 significant figures.
a) .230 m/s
it's approximately close to .208 m/s
200
Use the Pythagorean Theorem to determine the magnitude of r
r = 17 m
300
The tallest mountain stands at 29,028 feet,
What is its height in kilometers ?
8.847 km
300
A dolphin in an aquatic show jumps straight up out of the water at a velocity of 13.0 m/s.
a. List the knowns in this problem.
b. How high does his body rise above the water? After choosing the equation, show your steps in solving for the unknown.
c. How long is the dolphin in the air? Neglect any effects due to his size or orientation
a. a=−9.80 m/s 2 , v0=13.0 m/s , y=0
b. 8.62m
c. 2.65s
300
Jone is running a marathon and at the end of the race she decelerates from a velocity of 9.00 m/s at a rate of 2.00 m/s2 .
1)How far does she travel in the next 5 second?
2)what is her final velocity
3)evaluate the result does it make sense? (theoretical)
1) 20.0m
2) −1.00m/s
3) No. If the runner starts at 9.00 m/s and decelerates at 2.00m/s2 then she will have stopped after 4.50 s. If she continues to decelerate, she will be running backwards.
300
A graph is shown for a world-class track sprinter in a 100-m race. (See Figure).
(a) What is his average velocity for the first 4 s?
(b) What is his instantaneous velocity at t=5st=5s?
(c) What is his average acceleration between 0 and 4 s?
(d) What is his time for the race?
a) 6 m/s
b) 12 m/s
c) 3 m/s2
d) 10 s
300
The two vectors E (length 50 units) &
F (length 120 units) are drawn on the board.
Find Fx and Fy
Fx = 120 cos (70(degrees)) = 41 units
Fy = 120 sin (70(degress)) = 113 units
400
Tectonic plates are large segments of the Earth’s crust that move slowly. Suppose that one such plate has an average speed of 4.0 cm/year.
a What distance does it move in 1 s at this speed?
b What is its speed in kilometers per million years?
a.1.3 x 10-9 m
b. 40 km/ million year
400
Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s.
(b) How long would it take to reach the ground if it is thrown straight down with the same speed?
a. 8.26 m
b. 0.717 s
400
blood is accelerated from rest to 30.0 cm/s in a distance of 1.80 cm by the left ventricle of the heart.
(a) Make a sketch of the situation.
(b) List the knowns in this problem.
(c) How long does the acceleration take? To solve this part, first identify the unknown, and then discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, checking your units.
a) sketch will be explained my me
b)1.80 cm
c) .12 seconds
400
A train moves slowly along a straight portion of track according to the graph of position versus time in Figure 2.7a.
Find (a) the average velocity for the total trip,
(b) the average velocity during the first 4.00 s of motion,
(c) the average velocity during the next 4.00 s of motion,
(d) the instantaneous velocity at t 5 2.00 s, and
(e) the instantaneous velocity at t 5 9.00 s.
a).833 m/s
b)1.0 m/s
c) 0 m/s
d) 1 m/s
e).75 m/s
400
Which of these two vectors have the greater x component, what about the y component?
By looking at the drawing we can see that Ex points in the positive x direction and is the length of 50 units. where as vector Fx has the length of 41 units.
Vector Ex IS GREATER.
Vector Ey has no y component, so vector Fy has the greater y component. BUT take into account that the y-component of F is negative, so it's smaller than zero, and hence Ey has the greater y-component.
500
the average distance between the Earth and the Sun is 108. Determine the
hint: d(pi)r
A) average speed of the Earth in its orbit in kilometers per second.
B) What is this in meters per second?
A) 19.9 km/s
B)19.9 x 103 m/s
500
Suppose you drop a rock into a dark well and, using precision equipment, you measure the time for the sound of a splash to return.
b. Neglecting the time required for sound to travel up the well, calculate the distance to the water if the sound returns in 2.0000 s.
b. Now calculate the distance taking into account the time for sound to travel up the well. The speed of sound is 332.00 m/s in this well
a. 19.6m
b. 18.5m
500
A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250 m.
(a) How long did the acceleration last?
(b) Calculate the acceleration.
a)7.69 x 10-3 s
b)8.45 x 102 m/s2
500
By taking the slope of the curve in Figure, verify that the acceleration is 3.2m/s2 at t=10 s
3.2 m/s2
500
The two vectors A length 40.0 m and B length 75.0 m.
A) add the x components
B) add the y components
C) find the magnitude of C
D) find the direction of C
A) Cx= 85.8 m
B) Cy = 43.8 m
C) 96.3 m
D) 27.0 degrees