Question

The rodeo clown zigzagged in the ring to avoid the stampeding hooves of an upset horse. She started by running West for 23 meters, then 12° East of South for 5 meters. Turning again, she ran 7 meters Northeast (45°). What was her displacement vector’s magnitude and direction?

Round intermediate answers to 4 significant figures and the final answer to 3 sig figs

Answer #1

First we take every displacement which are in different direction as different vectors.

First displacement:

West for 23 m, west is 180° from the east, which we are referring as positive x axis.

r1 = (23*Cos 180)*i + (23*Sin 180)*j

r1 = -23*i

Second displacement:

12° East of south for 5 m, total angle from x-axis = 270+12 = 282°

r2 = (5 * Cos 282)*i + (5*Sin 282)*j

r2 = 1.0395*i - 4.8907*j

Third displacement:

7 m Northeast, angle = 45°

r3 = (7*Cos 45)*i + (7*Sin 45)*j

r3 = 4.9497*i + 4.9497*j

Now the total displacement is,

r = r1 + r2 + r3

r = -17.0107*i + 0.059*j

where r is the displacement vector.

Magnitude of displacement vector:

|r| = √[(-17.0109)² + (0.059)²]

|r| = 17.010 m

Direction of displacement vector:

ß = arctan(0.059/17.0109)

ß = - 0.198°

Thus the direction is 0.198° South of East.

A jogger ran for 15 minutes at 4 mph in the direction 50 degrees
South of West. Then she stopped, turned to the East, and ran with a
constant acceleration of 0.2 m/s^2 for 1.0 minutes. She stopped
again, turned, and ran back to the gym with a constant velocity. In
all, she spent 40 minutes running and jogging.
a) What was her velocity (Magnitude and Direction) as she was
running back to the gym?
b)Write the vector of the...

Question 1
Science affecting our daily lives is exemplified by:
relying on hunches to solve crimes.
using DNA evidence in criminal investigations.
seeking the help of people with psychic visions in police
work.
relying entirely on preconceptions to identify people who may
have committed crimes.
4 points
Question 2
When an object’s velocity changes, which of the following must
have occurred?
A unbalanced force acted on the object.
An balanced force acted on the object.
The object started to deviate...

What tools could AA leaders have used to increase their
awareness of internal and external issues?
???ALASKA AIRLINES: NAVIGATING CHANGE
In the autumn of 2007, Alaska Airlines executives adjourned at
the end of a long and stressful day in the
midst of a multi-day strategic planning session. Most headed
outside to relax, unwind and enjoy a bonfire
on the shore of Semiahmoo Spit, outside the meeting venue in
Blaine, a seaport town in northwest
Washington state.
Meanwhile, several members of...

Delta airlines case study
Global strategy. Describe the current global
strategy and provide evidence about how the firms resources
incompetencies support the given pressures regarding costs and
local responsiveness. Describe entry modes have they usually used,
and whether they are appropriate for the given strategy. Any key
issues in their global strategy?
casestudy:
Atlanta, June 17, 2014. Sea of Delta employees and their
families swarmed between food trucks, amusement park booths, and
entertainment venues that were scattered throughout what would...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 21 minutes ago

asked 34 minutes ago

asked 35 minutes ago

asked 38 minutes ago

asked 43 minutes ago

asked 44 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago