Recall that the Range equation gives the horizontal distance a projectile can be launched. Suppose there is a slight breeze so that the range equation is modified in the following way: R(8) = sin(20) – 0.900 0 Part A Use Calculus to determine the angle (in degrees) at which the projectile will reach its maximum range. Πνα ΑΣΦ ? Omaz =

Recall that the Range equation gives the horizontal distance a projectile can be launched. Suppose there is a slight breeze so that the range equation is modified in the following way: R(8) = sin(20) – 0.900 0 Part A Use Calculus to determine the angle (in degrees) at which the projectile will reach its maximum range. Πνα ΑΣΦ ? Omaz =

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 52P: Assuming the +x -axis is horizontal to the right for the vectors given in the following figure, use...

See similar textbooks

Related questions

Q: Problem 3: Vector A B C R A R-L (+X,-X) Components B U-D (+Y,-y) Components Magnitude of R…

Q: The components of vector A are: Ax=5.6 Ay= -4.7 What is the angle between vector A and positive…

Q: The three vectors in the figure have magnitudes a 3.10 m, b-2.90 m, and c= 10.1 m and angle - 38.0"…

Q: Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the…

Q: 3. Addition of vectors. Vector r1 has a magnitude of 8.4 km and points due East. Vector r2 has a…

Q: The three vectors in the figure have magnitudes a = 3.10 m, b = 2.80 m, and c = 10.3 m and angle 0 =…

Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^ We have to find the magnitude of the vector and the…

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s. Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: J and K are ships. Pis a port. J is due South of P. Angle JPK = 56° JP = KP Not drawn accurately 56…

A: Since the given triangle is an isosceles triangle. Therefore, from the property of the isosceles…

Q: If a vector W has components Wx--3.0 and Wy-4.0, what is the magnitude of the vector? Make sure your…

A: Given vector W has x-component wx = -3.0 And y-component wy = 4.0

Q: Determine the angles made by the vector V = -15i + 52j with the positive x- and y-axes. Write the…

Q: For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using…

Q: The three vectors in the figure have magnitudes a = 3.10 m, b = 2.60 m, and c = 10.2 m and angle 9 =…

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

Q: a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0…

Q: You are on a treasure hunt and your map says "Walk due west for 23.1 paces, then walk 40.0° north of…

Q: A sailboat race course consists of four legs, defined by the displacement vectors ...and B.as the…

A: According to the question three vectors are given A=3km B=5.4km and C=5.2km we need to find fourth…

Q: Problem 6: Consider the following two vectors: A = 36i - 52j and B = -21j. %3D Part (a) Find the…

Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

A: Given value--- F1= 25 newtons 50 degrees north of east. F2 = 16 newtons 75 degrees south of east.…

Q: Vector A had a magnitude A=4.8 and direction theta = 163.4 degrees measured counterclockwise from…

A: x- component =?

Q: Problem 3: Consider the three vectors shown in the figure. They have magnitudes |A| = 32.5, B| =…

Q: Vector A is 30° below the x-axis. Vector B is 35° to the right of the negative y-axis. You will be…

A: The resultant R be defined as the resultant vector. Then R be given as, R2=A2+B2+2ABcosθ

Q: Given the displacement vectors A = (3î – 4j + 4k) m and B = (2î + 3ĵ – 7Ê) m, find the following…

A: Given data *The displacement vector is *Another displacement vector is

Q: The three vectors in the figure have magnitudes a = 2.80 m, b = 3.00 m, and c = 10.2 m and angle 8 =…

Q: Vector A: - magnitude: 6.70m - angle: 63 degrees right of the y-axis Vector B: -…

Q: Problem 2: Given vectors: A = 3 i+j- k, B = - i+ 2 j+ 5 k, C = 2 j - 3 k. Find: 1. C. (A + B) 2. Cx…

Q: The three vectors in the figure have magnitudes a - 3.20 m, b - 3.20 m, and c- 10.2 m and angle 8-…

A: Given that--- The three vectors in the figure have magnitudes a - 3.20 m, b - 3.20 m, and c - 10.2 m…

Q: The three vectors in the figure have magnitudes a = 3.10 m, b = 2.60 m, and c= 10.2 m and angle =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Vectors C and D have magnitudes of 3 units and 4 units, respectively. What is the angle between the…

A: ""Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A pilot needs to fy to a destination 350 km north of his current position in 2.0 hours. An air…

A: Given, The wind velocity with respect to the ground is v→wg=27kmhE340 S The pilot needs to go 350 km…

Q: The magnitude of Ais 5.7. Vector Alies in the secon quadrant and forms an angle of 23 degrees with…

A: The magnitude of the vector is The angle of the vector is from the Y axis.The angle of the vector…

Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

100%

Recall that the Range equation gives the horizontal distance a projectile can be launched. Suppose there is a slight breeze so that the range equation is modified in the following way:
R(0) :
= sin(20) – 0.900
R
Part A
Use Calculus to determine the angle (in degrees) at which the projectile will reach its maximum range.
?
Omaz

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

For vectors and , calculate (a) and its magnitude and direction angle, and (b) and its magnitude and direction angle.
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
For the vectors given in the following figure, use a graphical method to find the following resultants: (a) A+B , (b) C+B , (c) D+F , (d) AB , (e) DF , (f) A+2F , (g) C+2D ; and (h) A4D+2F .
Assuming the +x -axis is horizontal to the right for the vectors given in the following figure, use the analytical method to find the following resultants: (a) A+B , (b) C+B , (c) D+F , (d) AB , (e) DF , (f) A2F , (g) C2D+3F , and (h) A4D+2F .
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
The coordinates of a particle in a rectangular coordinate system are (1.0,4.0,6.0) . What is the position vector of the particle?
Check Your Understanding For vector in a rectangular coordinate system, use Equation 2.29 through Equation 2.32 to show that and .
Answer pls
Find the Horizontal Range (Horizontal Range of the Projectile) A) Velocity = 11 m/s, Angle = 80 deg. Calculate the horizontal range. (Solve using computation) B) Height = 11m, Velocity = 29 m/s, Angle = 80 deg. Calculate the horizontal range. (Solve using computation)
a. Find the Range and Maximum Height of a projectile launched at 4.5 m/s t an angle of 300. Find the Range and Maximum Height of a projectile launched at 4.5 m/s t an angle of 600. Discuss any similarities between a. and b.