An object is launched from a horizontal plane at an angle alpha with the plane, and...
An object is launched from a horizontal plane at an angle alpha with the plane, and is landing on the same plane.
Part 1) In terms of the launch speed, Vo, the launch angle, alpha, and g, derive an equation for the horizontal range of the object. For a given Vo, what is the maximum horizontal range, Rmax?
Part 2) In terms of Rmax, work out an expression for the maximum height that the object can reach when the horizontal range is Rmax.
Part 3) Work out an expression for the time of flight in terms of Rmax and g.
Homework Answers
Add Answer to:
An object is launched from a horizontal plane at an angle alpha
with the plane, and...
11) A projectile is launched with velocity vo at angle θ. a. Derive a general equation...
11) A projectile is launched with velocity vo at angle θ. a. Derive a general equation for the time of flight in terms of vo. 0, and g. b. Derive a general equation for the distance traveled (range) c. What elevation angle results in the maximum range? d. Prove your result from c by taking o of your range formula. de
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 40 m/s. (A) How do the vertical and horizontal components of the projectile's velocity vary with time? (B) How long does it remain in flight? (C) For a given launch speed, what launch angle produces the longest time of flight? CONCEPTUALIZE Consider the projectile to be a point mass that starts with an initial velocity, upward and...
An artillery shell is launched on a flat, horizontal field at an angle of alpha =...
An artillery shell is launched on a flat, horizontal field at an angle of alpha = 35.1 degree with respect to the horizontal and With an initial speed of v_0 = 261 m/s. What is the horizontal distance covered by the shell after 7.42 s of flight? _________ What is the height of the shell at this moment? ___________
A projectile is launched with speed v0 at an angle of θ0 above the horizontal. Find...
A projectile is launched with speed v0 at an angle of θ0 above the horizontal. Find an expression for the maximum height it reaches above its starting point in terms of v0, θ0, and g.
An object is launched with a speed v0 = 80.0 m/s and with an angle α0...
An object is launched with a speed v0 = 80.0 m/s and with an angle α0 = 60º with respect to the flat surface from which it was launched at a place where g = 9.80 m/s^2. a) Calculate the position (x, y) of the object when t = 4.00s. b) Calculate the magnitude and direction of its velocity when t = 4.00s. c) Determine the time at which the object reaches its maximum height and the value of said...
1. A projectile is launched horizontally from a height above level ground of 3 m. When...
1. A projectile is launched horizontally from a height above level ground of 3 m. When it hits the ground, it's horizonta displacement from the launch point is 7 m. a. b. How much time does it spend in flight? With what speed was it launched? Suppose the projectile were now launched from the same point at an angle of 45 above the horizontal. a. b. How much time does it spend in the air? What is its horizontal displacement...
A projectile is launched at an angle of 60° from the horizontal and lands 98 s...
A projectile is launched at an angle of 60° from the horizontal and lands 98 s later at the same height from which it was launched (a) What is the initial speed of the projectile (in m/s)? m/s (b) What is the maximum altitude (in m)? (c) What is the range (in m)? (d) Calculate the displacement (in m) from the point of launch to the position on its trajectory at 90 s. (Express your answer in vector form. Assume...
A smooth spherical object (the first object) is projected horizontally from a point a vertical height...
A smooth spherical object (the first object) is projected horizontally from a point a vertical height H = 25.02 metres above horizontal ground with a launch speed u = 22.06 ms-1. A second identical object is projected from ground level with launch speed v and at an angle θ above the horizontal. Calculate the value of this launch angle θ in radians, if the second object is to have the same horizontal range and the same time of flight as...
THE VERTICAL DISPLACEMENT IS NOT ZERO BECAUSE THE PROJECTILE LANDS ON HEIGHT H Problem 1: Consider...
THE VERTICAL DISPLACEMENT IS
NOT ZERO BECAUSE THE PROJECTILE LANDS ON HEIGHT H
Problem 1: Consider a projectile launched with an initial velocity of 120 f/s. Let us assume that the projectile lands on a a) Determine the range R as a function of time. b) Determine the initial launch angle, 8, such that the projectile achieves the maximum possible horizontal range Hint: think about how to compute maxima and minima from calculus. Once you have computed the launch angle...
Download An object is launched from the origin with a velocity of 12.0 m/s at an...
Download An object is launched from the origin with a velocity of 12.0 m/s at an angle of 42.0 degrees above the horizontal. How long after launch does the object reach its maximum height? (use g=9.80 m/s) A. 0.63 s B. 0.75 s C. 0.82 s D. 1.2 s E. 1.5 s
11) A projectile is launched with velocity vo at angle θ. a. Derive a general equation for the time of flight in terms of vo. 0, and g. b. Derive a general equation for the distance traveled (range) c. What elevation angle results in the maximum range? d. Prove your result from c by taking o of your range formula. de
An artillery shell is launched on a flat, horizontal field at an angle of alpha = 35.1 degree with respect to the horizontal and With an initial speed of v_0 = 261 m/s. What is the horizontal distance covered by the shell after 7.42 s of flight? _________ What is the height of the shell at this moment? ___________
1. A projectile is launched horizontally from a height above level ground of 3 m. When it hits the ground, it's horizonta displacement from the launch point is 7 m. a. b. How much time does it spend in flight? With what speed was it launched? Suppose the projectile were now launched from the same point at an angle of 45 above the horizontal. a. b. How much time does it spend in the air? What is its horizontal displacement...
A projectile is launched at an angle of 60° from the horizontal and lands 98 s later at the same height from which it was launched (a) What is the initial speed of the projectile (in m/s)? m/s (b) What is the maximum altitude (in m)? (c) What is the range (in m)? (d) Calculate the displacement (in m) from the point of launch to the position on its trajectory at 90 s. (Express your answer in vector form. Assume...
THE VERTICAL DISPLACEMENT IS
NOT ZERO BECAUSE THE PROJECTILE LANDS ON HEIGHT H
Problem 1: Consider a projectile launched with an initial velocity of 120 f/s. Let us assume that the projectile lands on a a) Determine the range R as a function of time. b) Determine the initial launch angle, 8, such that the projectile achieves the maximum possible horizontal range Hint: think about how to compute maxima and minima from calculus. Once you have computed the launch angle...
Download An object is launched from the origin with a velocity of 12.0 m/s at an angle of 42.0 degrees above the horizontal. How long after launch does the object reach its maximum height? (use g=9.80 m/s) A. 0.63 s B. 0.75 s C. 0.82 s D. 1.2 s E. 1.5 s
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago