An object is propelled from the origin with accelerationà = (4.00î + 2.00§)mls²and initial velocityVo = (8.00î + 12.0)mlsfor 5.00 seconds. After this 5.00-second interval, the object then travels as aprojectile. Determine the maximum height of the projectile.

Answered: for 5.00 seconds. After this…

for 5.00 seconds. After this 5.00-second interval, the object then travels as a projectile. Determine the maximum height of the projectile.

Related questions

Q: Problem #2: The acceleration of a particle is a constant. At t 0 the velocity of the particle is…

A: We have given that acceleration of the particle is constant. The velocity of the particle at t=0 is…

Q: Consider a ball tossed over a fence. Construct a problem in which you calculate the ball's needed…

A: Question: Consider a ball tossed over a fence. Construct a problem in which you calculate the ball's…

Q: A high diver leaves the end of a 5.5 mm high diving board and strikes the water 1.2 ss later, 3.5 mm…

Q: An object falls under the influence of gravity, starting from initial position y= 25.4 m and initial…

Q: Horizontal and vertical motions of a projectile are independent of each other. What is meant by…

Q: A high diver leaves the end of a 6.0 m high diving board and strikes the water 1.5 s later, 2.5 m…

Q: The Word template is used for recording the measurements., Select one: O True O False

A: The statement is false reason A template is a predesigned document, one can use to create document…

Q: We have an experiment that launches balls from a height of 2m above a table. One ball is launched in…

A: There is only vertical acceleration which is due to earth's gravity, there is no horizontal…

Q: The lob in tennis is an effective tactic when your opponent is near the net. It consists of lofting…

A: Given Data: Initial speed of the ball (uy) = 15.0 m/s.Angle of the ball (θ) = 50.0o.Horizontal…

Q: The marble is projected horizontally. If the initial velocity is Vo, what are the marbles initial…

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: The circus manager wants to make the stunt more dramatic by firing the stuntman through a hoop 9.0 m…

Q: 1. Given velocities of two identical billiard balls just before impact, determine post- impact…

Q: Cannon problem: There is a new cannon entering service. The artillery crews need some information…

Q: 45 40 35 30 Figure 1. The red points from 1 to 15 show the successive locations of a puck at times t…

Q: The highest barrier that a projectile can clear is 18.7 m, when the projectile is launched at an…

A: Maximum height of projectile motion is, hmax=u2sin2θ2g Here, u is initial velocity and θ is angle…

Q: A baseball is thrown from an outfielder to the second baseman on a level field. The ball is in the…

A: a) R = ux×∆t ux = R/∆t = 92/3.5 = 26.28 m/s ∆t = 2uy/g uy = ∆tg/2 = (3.5×9.8/2) = 17.15 m/s b)…

Q: Using kinematics. Solve the problem. The ball passed through the hoop even though it barely…

Q: The position functions of four particles are given as follow. Which of the particles have constant…

Question

100%

An object is propelled from the origin with acceleration
à = (4.00î + 2.00§)mls²
and initial velocity
Vo = (8.00î + 12.0)mls
for 5.00 seconds. After this 5.00-second interval, the object then travels as a
projectile. Determine the maximum height of the projectile.

Expert Solution

Step 1

Projectile

A projectile is an object that is thrown without any fuel. Generally, a projectile is thrown with a velocity that makes an angle with respect to the horizontal. Examples of a projectile are meteors and an artillery gun firing at enemy positions.

The trajectory of a projectile thrown with an initial velocity $v$ at an angle $θ$ with respect to the horizontal is

$H$ is the maximum height attained by the projectile and $R$ is the range of the projectile.

The x and y components of the initial velocity of the projectile are

$v_{x} = v \cos θ v_{y} = v \sin θ$

Therefore the vertical displacement of the projectile with the y component velocity at that moment is given by

$v_{y}'^{2} = {v_{y}}^{2} - 2 g y$

Here $g$ is the acceleration due to gravity. Now at the highest point of the trajectory, the y component of the velocity is zero. If $H$ is the maximum height attained by the projectile, we get

$0 = {v_{y}}^{2} - 2 g H \Rightarrow 2 g H = {v_{y}}^{2} \Rightarrow H = \frac{{v_{y}}^{2}}{2 g} = \frac{v^{2} \sin^{2} θ}{2 g}$

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A projectile is fired with an initial speed of 36.2 m/s at an angle of 42.3 ° above the horizontal on a long flat firing range. Determine the maximum height reached by the projectile. Express answer using three significant figures. Determine the total time in the air. Express answer using three significant figures. Determine the total horizontal distance covered (that is, the range) Determine the speed of the projectile 2.00 s after firing.
Two projectiles are launched from the same point at the same angle, but the first one has twice the initial velocity compared to the second. The ranges R1 and R2 are: O A. R2 = 4R1 O B. R1 = 4R2 OC R2= 2R1 OD R1 = R2 O E None of the above.
A projectile is launched from ground level at a velocity of 28 m/s and an initial angle of 37 degrees. What is the projectile's velocity the instant before it hits the ground? Include a drawing and all steps. Use the projectile motion equations.
A projectile is launched at an elevated target with initial speed v0 = 220 m/s in the direction shown. Determine the time of flight and the range R
Use a graphing utility to obtain the path of a projectile launched from the ground (h = 0) at the specified values of θ = 35°, v0 = 300 feet per second. In the exercise, use the graph to determine the maximum height and the time at which the projectile reaches its maximum height. Also use the graph to determine the range of the projectile and the time it hits the ground. Round all answers to the nearest tenth.
On a spacecraft, two engines are turned on for 908 s at a moment when the velocity of the craft has x and y components of v0x = 5150 m/s and v0y = 6290 m/s. While the engines are firing, the craft undergoes a displacement that has components of x = 2.85 x 106 m and y = 4.72 x 106 m. Find the (a) x and (b) y components of the craft's acceleration
8) A projectile lands at the level from which it was fired. (a) For what initial angle is the horizontal range equal to the maximum height? (b) For what initial angle is the range equal to half the maximum height