(a) Find A + B graphically. magnitude direction 8.16 66.5 (b) Find A - B graphically. magnitude direction 3.55 -23.5 (c) Find B - A graphically. magnitude direction 3.55 156.5 m count m count m count (d) Find A - 2B graphically. 3.55 X magnitude Your response differs from 156.5 x count direction
(a) Find A + B graphically. magnitude direction 8.16 66.5 (b) Find A - B graphically. magnitude direction 3.55 -23.5 (c) Find B - A graphically. magnitude direction 3.55 156.5 m count m count m count (d) Find A - 2B graphically. 3.55 X magnitude Your response differs from 156.5 x count direction
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:The displacement vectors A and B shown in the figure below both have magnitudes of 4.45 m. The direction of vector A is
0 = 43.0⁰.
0
(a) Find A + B graphically.
magnitude 8.16
direction
66.5
(b) Find A - B graphically.
magnitude 3.55
direction
-23.5
= 2
(c) Find B- A graphically.
magnitude 3.55
direction
156.5
direction
✓ m
✓
Need Help?
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↑
• counterclockwise from the +x axis
✔m
✓ ° counterclockwise from the +x axis
(d) Find A - 2B graphically.
3.55
X
magnitude.
Your response differs from the correct answer by more than 10%. Double check your calculations. m
156.5 Xcounterclockwise from the +x axis
✓ m
• counterclockwise from the +x axis
Master It

Transcribed Image Text:7:29
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We investigated a jet landing on an aircraft carrier. In a later maneuver, the jet comes in for a landing on solid ground
with a speed of 92 m/s, and its acceleration can have a maximum magnitude of 8.75 m/s² as it comes to rest.
(a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come
to rest?
(b) Can this jet land on a small tropical island airport where the runway is 0.800 km long?
(c) Explain your answer.
Step 1
We know the initial speed of the jet when it touches the runway, and we know that its final speed is zero. We also know
the maximum magnitude that its acceleration can have when it comes to rest. We need to find the stopping distance for
the jet and we need to compare this stopping distance to the length of the runway on the island airport.
10.47
Step 2
We use the maximum acceleration and the initial and final velocities to determine the minimum stopping time. We know
the initial and final velocities of the jet and we know the maximum value of its acceleration. We need to find the
displacement x,- x,- Ax that corresponds to these values. We are given that the length of the runway is 0.800 km. We
calculate the minimum stopping distance based on the initial and final velocities and the maximum acceleration of the
jet as it comes to rest on the runway. Is the runway long enough for the jet to land safely?
Step 3
(a) We use the equation for velocity with constant acceleration.
V=V+at
Now, solve for t in the above equation. Substitute the values we know for final velocity v initial velocity Vand
acceleration a,
a.
-10.51✔
(0
Solve for Ax.
-8.75 ✓
0 m/s
0 m/s 92✔
92✔✔ 92 m/s
-8.75 m/s2
Step 4
(b) We have the following equation in terms of displacement, velocity, and acceleration.
v²=v²+2a₂(x-x) = v₁² + 2a, Ax
Now, substitute the values we know into this equation.
✔m/s)²-(92
10.5 s
✔m/s)2 + 2( -8.75
и
✔m/s2)Ax
Ax- 0.800
x
Your response differs from the correct answer by more than 10%. Double check your calculations. km
We have found that the stopping distance Ax is less than
0.800 km.
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