a projectile is fired in such a way that its horizontal range is equal to three times its...
Homework Answers
t = Vyi/g. The peak altitude is Vyit - .5gt^2 The total flight time is twice t since the time until we reach the peak altitude is equal to half the timefrom the peak altitude to ground. The horizontal range is Dx = Vix * 2t
3Vyit-1.5gt^2 = Vix*2t. If the angle of projection is a tan(a) = Vyi/Vx, so Vxi*tan(a) = Vyi
3Vyi-1.5gt=2*Vix. Substitute expression for t = Vyi/g
3Vyi-1.5gVyi/g=2*Vix, so Vyi[3-1.5] = 2Vix. Therefore Vyi/Vxi = tan(a) = 4/3 The angle of projection is then 53.13 degrees
Add Answer to:
a projectile is fired in such a way that its horizontal range is equal to three times its...
A projectile is fired in such a way that its horizontal range is equal to 9.5...
A projectile is fired in such a way that its horizontal range is equal to 9.5 times its maximum height. What is the angle of projection?
A projectile is fired with an initial speed of 10 m/s. Find theangle of projection...
A projectile is fired with an initial speed of 10 m/s. Find the angle of projection such that the maximum height of the projectile is equal to 0.9 times its horizontal range.
please show worked problem; The range R of a projectile fired from the origin over horizontal...
please show worked problem;
The range R of a projectile fired from the origin over horizontal ground is the distance from the origin to the point of impact. If the projectile is fired with an initial velocity v0 at an angle a with the horizontal, then the range is given by the formula below, where g is the downward acceleration due to gravity. Find the angle a for which the range R is the largest possible. R = v^2/g sin...
A projectile fired from a gun has initial horizontal and vertical components of velocity equal to...
A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s, respectively. a. determine the initial speed of the projectile b. at what angle is the projectile fired (measured with respect to the horizontal)? c. approximately how long does it take the projectile to reach the highest point in its trajectory?
Extra Credit (+3% maximum): The range R of a projectile fired with an initial velocity vo...
Extra Credit (+3% maximum): The range R of a projectile fired with an initial velocity vo at an angle with the horizontal is given by R = ama where g is the acceleration due to gravity. Find the acute angle such that the range is a maximum.
A 60.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial...
A 60.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 124 m/s from the top of a cliff 144 m above level ground, where the ground is taken to be y = 0. (a) What is the initial total mechanical energy of the projectile? (Give your answer to at least three significant figures.) (b) Suppose the projectile is traveling 87.9 m/s at its maximum height of y = 304 m. How much...
A 44.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial...
A 44.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 128 m/s from the top of a cliff 160 m above level ground, where the ground is taken to be y = 0. (a) What is the initial total mechanical energy of the projectile? (Give your answer to at least three significant figures.) ____J (b) Suppose the projectile is traveling 90.7 m/s at its maximum height of y = 331 m. How...
The speed of a projectile when it reaches its maximum height is 0.44 times its speed...
The speed of a projectile when it reaches its maximum height is 0.44 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile? I’ve been stuck with this problem for a while...
A projectile is fired with an initial speed of 37.4 m/s at an angle of 45.0...
A projectile is fired with an initial speed of 37.4 m/s at an angle of 45.0 ° above the horizontal on a long flat firing range.Part ADetermine the maximum height reached by the projectile. Express your answer using three significant figures and include the appropriate units. Part B Determine the total time in the air Part C Determine the total horizontal distance covered (that is, the range).
7. Assuming there is negligible air resistance, what is the range of a projectile fired from...
7. Assuming there is negligible air resistance, what is the range of a projectile fired from ground level with a velocity of 30.0 m/s at an angle of 30° to the horizontal? 20 G
please show worked problem;
The range R of a projectile fired from the origin over horizontal ground is the distance from the origin to the point of impact. If the projectile is fired with an initial velocity v0 at an angle a with the horizontal, then the range is given by the formula below, where g is the downward acceleration due to gravity. Find the angle a for which the range R is the largest possible. R = v^2/g sin...
Extra Credit (+3% maximum): The range R of a projectile fired with an initial velocity vo at an angle with the horizontal is given by R = ama where g is the acceleration due to gravity. Find the acute angle such that the range is a maximum.
A 60.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 124 m/s from the top of a cliff 144 m above level ground, where the ground is taken to be y = 0. (a) What is the initial total mechanical energy of the projectile? (Give your answer to at least three significant figures.) (b) Suppose the projectile is traveling 87.9 m/s at its maximum height of y = 304 m. How much...
7. Assuming there is negligible air resistance, what is the range of a projectile fired from ground level with a velocity of 30.0 m/s at an angle of 30° to the horizontal? 20 G
Most questions answered within 3 hours.
-
1. What is the main causal factor of Border line personality
disorder? Research has also found...
asked 1 hour ago -
The National Institute of Standards and Technology (NIST)
supplies "standard materials" whose physical properties are
supposed...
asked 1 hour ago -
Alpha Centauri A and B are Sun-like stars, and together they
form the binary star Alpha...
asked 1 hour ago -
What is the pH of a 0.200 M solution of sulfurous acid? Given:
Ka1 = 1.70×10–2,...
asked 1 hour ago -
Sociologists have conducted much interesting research on gender
stereotypes in American society. A curious aspect of...
asked 1 hour ago -
1. Based on your results, calculate how many kilograms of plant
material you would need to...
asked 1 hour ago -
Sample (taken every two minutes)
Angle of Rotation
0
102.9
2
104.2
4
106.2
6
104.8*...
asked 1 hour ago -
Adrian's utilities of two consumption bundles are 50 and 100,
respectively. This implies that A. Adrian...
asked 1 hour ago -
1. A 24.9 mL sample of 0.332 M
methylamine,
CH3NH2, is titrated with
0.264 M perchloric...
asked 1 hour ago -
You're working as a security analyst for a small company that
doesn't have the resources of...
asked 1 hour ago -
As the project manager of a large project, you have just
completed the Estimate Costs process....
asked 1 hour ago -
Suppose that a budget equation is goven by p1x1 + p2x2
= m. The government decides...
asked 1 hour ago