The trajectory of a projectile launched from ground is given by the equation y = -0.035 x2 + 0.75 x, where x and y are the coordinate of the projectile on a rectangular system of axes. Find the initial velocity and the angle at which the projectile is launched.

The trajectory of a projectile launched from ground is given by the equation y = -0.035 x2 + 0.75 x, where x and y are the coordinate of the projectile on a rectangular system of axes. Find the initial velocity and the angle at which the projectile is launched.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 9P

See similar textbooks

Related questions

Q: PLEASE CHECK YOUR ANSWER 3 or 4 TIMES THE PREVIOUS TUTOR GOT IT WRONG!!!! And please make the answer…

A: Given:Initial speed of the projectile = 47.6 m/sAngle of projectile = 44.2oTime taken = 1.50 s

Q: A particle starting from the origin (0,0) moves in a straight line in the (x, y) plane. Its…

Q: A projectile is shot at ground level at an angle of 36° with the horizontal. It has an initial…

A: Given value--- angle = 36 degree . initial velocity = 109 m/s. time = 4 sec. We have to find---…

Q: A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 105…

Q: A projectile ( gi) is to be launched (a) above the horizontal direction such that its range (R)…

Q: Suppose the water at the top of Niagara Falls has a horizontal speed of 1.81 m/s just before it…

A: Given data *The given Horizontal speed is Vx = 1.81 m/s *The given angle below the horizontal is…

Q: Consider three displacement vectors A* = (3x - 3ý ) m, B* = ( – 4ỹ ) m,and C* = (-2x + 5ý ) m. The…

A: The displacement vectors are given as A→=3x^-3y^ mB→=x^-4y^ mC→=-2x^+5y^ m

Q: The equation of the trajectory of a projectile is given by y =x- The horizontal distance travelled…

Q: along the horizontal or x-axis direction,__________ is constant for any type of projectile?

A: We call an object is in a projectile motion when it is thrown near the earth surface making certain…

Q: In Example 5, the maximum height reached by the projectile and the range of a projectile were…

Q: Why Projectile motion is always confined to a vertical plane determined by the direction of the…

A: Solution: The projectile motion emphasizes one important aspect of constant acceleration that even…

Q: A projectile ( is to be launched (a) above the horizontal direction such that its range (R) equals…

A: This question is based on Motion in a plane topic. Knowledge of formula for Horizontal Range and…

Q: A particle starting from the origin (0,0) moves in a straight line in the (x, y) plane. Its…

A: Given data: The particle moves in a straight line Initial position = (0,0) Final position = 3 , 3…

Q: Which among the following statements is CORRECT? A.) The vertical component of the acceleration…

A: Let the initial velocity of a projectile = v Let the angle of projection = θAcceleration due to…

Q: the vertical component for a projectile with angle inclined on the horizontal during time of flight…

A: In projectile motion, the vertical component of acceleration is not zero but equals to g,…

Q: The ball is served by the volleyball player with an initial velocity of 13.40 m/s at an angle of 20…

Q: A 2.00-m-tall basketball player is standing on the floor 10.0 m from the basket, as in Figure P3.…

Q: Why an angle of 45 degrees gives the largest range possible in case of projectile motion

Q: The magnitude of the velocity of a projectile remains constant. Is it correct?

A: For a projectile, the horizontal velocity always remains constant due to absence of any acceleration…

Q: A basketball hoop has a height of 3.05 m and the distance between the hoop and the free throw line…

A: It is given that, the height of hoop h1=3.05 m. The height of the person h2=1.90 m.Distance between…

Q: A projectile is fired from the edge of a 180-m cliff with an initial velocity of 150 m/s at an angle…

Q: A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total…

A: Given: X-component of velocity (Vx) = 6.3 m/sY-component of velocity (Vy) = -2.5 m/s

Q: At what point are the velocity and acceleration vectors for the projectile parallel to each other…

Q: An ideal projectile is launched at a 37.3-degree angle from the horizontal with an initial speed of…

Q: Two projectiles are launched at 100 m/s, the angle of elevation for the first being 20 degree and…

A: Given:- vo = 100 m/s θ1 = 20o θ2 = 70o

Q: Which of the following plot represents the velocity of the projectile along the vertical axis, Vy?…

Q: Three objects are fired into the air with the same initial speed, but at different angles. The…

A: Here object B takes more time to return to its initial height than the other two objects. So, option…

Q: If the velocity vector of a polar bear is u ⃗ = (−18.0i ^ − 13.0j ^ )km/h , how fast and in what…

A: The given velocity vector is of the form

Q: A projectile is launched with an initial velocity of 100 m/s at a 30° angle above the horizontal.…

A: Resolving initial velocity in horizontal and vertical component .ux= 100 cos 30 ms= 86.6 msuy=…

Q: For general projectile motion, which of the following best describes the horizontal component of a…

A: Let the initial velocity of projectile = v Let the initial horizontal component of the velocity = vx…

Q: Based on the measured angles of the marble launcher, calculate the initial horizontal and vertical…

A: Given , angle 1: θ = 15° angle 2: θ = 45° angle 3: θ = 70° initial velocity , v0 = 4.32 m/s from…

Q: Which of the following plot represents the velocity of the projectile along the vertical axis, Vy?…

Q: A young man throws a ball horizontally from the roof of a 40 m high building. If the initial…

A: Solution as

Q: An object is thrown with an angle 370 with horizontal. If the initial velocity of the object is 42.0…

Q: Consider a projectile being launched with an initial speed of 43 m/s at a variety of initial angles.…

A: Given u =43 m/s

Q: Find the launch angle for which the range and maximum height of a projectile are the same

A: maximum height of projectiles = range of projectiles are equal

Q: A projectile is fired at an angle above the horizontal at a location where g = 9.8 m/s2. The initial…

Q: 7. A projectile is fired at 30 degrees above the horizontal with an initial speed of 600 meters per…

A: According to Newton's second law of motion, the net force acting on an object is equal to the…

Q: A firefighting crew uses a water cannon that shoots water at 27.0 m/s at a fixed angle of 50.0 ∘…

A: Draw the trajectory of motion of water.

Q: A projectile ( ) is to be launched (l) above the horizontal direction such that its range (R) equals…

Q: What is the angle of projection for a projectile thrown parallel to the horizontal?

A: In projectile motion of a body the velocity can be resolved into vertical and horizontal components.…

Q: x = 4.6t^2 - 1.9t^3 From t = 0.0 s to t = 4.0 s, what distance does the particle move? (For vector…

Q: A certain projectile is launched with an initial speed v0. At its highest point its speed is 1/2v0.…

A: At highest point, only x component of the velocity is present,

Q: An object is shot from the edge of a cliff 125m above the ground level with an initial speed of…

A: Given that, Height of cliff = 125 m The object is shot with an initial speed of 105m/s at an angle…

Question

The trajectory of a projectile launched from ground is given by the equation
y = -0.035 x2 + 0.75 x, where x and y are the coordinate of the projectile on a
rectangular system of axes. Find the initial velocity and the angle at which the
projectile is launched.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Give an example of a trajectory in two or three dimensions caused by independent perpendicular motions.
A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16
A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial velocity of vi=5.00im/s. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 2.00 s, and (d) the speed of the particle at t = 2.00 s.
Consider a projectile being launched with an initial speed of 58 m/s at a variety of initial angles. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 78.3°?
For a projectile fired at an angle of 48 degrees and having an initial velocity of 65 m/s, what is the horizontal component of the initial velocity?
For a horizontal projectile what does the x direction mean
For a projectile fired at an angle of 48 degrees and having an initial velocity of 65 m/s, what is the horizontal
A projectile is launched from ground level at an angle θ to the top of a cliff which is 195 m away and 155 m high. If the projectile lands right on the cliff edge 7.6 s after it is fired, find the initial velocity of the projectile.
When a projectile is fired with a velocity of 815 m/s at angle of 37 degrees above the horizontal, the maximum height reached by the projectile is about?
Consider a projectile being launched with an initial speed of 43 m/s at a variety of initial angles. Refer to the figure. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 79.7°? What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 40.5°? What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 79.7°, the complement of θ1?
A basketball player who is 2.00 m tall is standing on the floor 10.0 m from the basket as in figure. If he shoots the ball at a 40.0° angle with the horizontal at what initial speed must he throw so that it goes through the hoop without striking the backboard? the basket height is 3.05 m.
A cannonball is fired with an initial speed of 123 m/s at an angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components.