Physics, 26.06.2019 23:40 liaholmes8

Abullet is shot horizontally from shoulder height (1.5 m) with an initial speed 200 m/s. (a) how much time elapses before the bullet hits the ground? (b) how far does the bullet travel horizontally?

Answers: 2

Show answers

Answers

Answer from: iisofieii1978

Velocity is the ratio of displacement and time. The time needed by the bullet before it hits the ground is 0.553 sec.

What is Velocity?

Velocity can be defined as the rate of the position of an object with respect to time. It is given by the formula,

$v = \dfrac{dx}{dt}$

Given to us

Height, h = 1.5 m

Initial velocity of the object, v = 200 m/s

Bullet is shot horizontally, θ = 0°

A.) The time needed by the bullet, t can be calculated using the projectile motion equation for time,

$t = [V \times sin(\theta ) + \dfrac{\sqrt{(V\ sin(\theta)^2 + 2 \times g \times h } }{g}$

Substitute the value, we know that the value of sin (0°) = 0

$t = \dfrac{\sqrt{2gh}}{g}\\\\t= \dfrac{\sqrt{2\times 9.81 \times 1.5}}{9.81}\\\\t = 0.553\ sec$

Hence, the time needed by the bullet before it hits the ground is 0.553 sec.

B.) Time needed before the bullet hits the ground,

We know that the motion of the bullet will be projectile, therefore,

$x = v \ cos\theta \times t$

Substitute the value of time,

$x = v\ cos\theta \times t\\\\x = 200\ cos(0^o)\times 0.553\\\\x = 110.6 \ m$

Hence, the distance traveled by the bullet is 110.6 m.

Learn more about Velocity:

link

Answer from: mya9859

(a)t=0.553s, (b)x=110.656m

Explanation:

This situation is a good example of the projectile motion or parabolic motion, in which the travel of the bullet has two components: x-component and y-component. Being their main equations as follows:

x-component:

$x=V_{o}cos\theta t$ (1)

Where:

$V_{o}=200m/s$ is the bullet's initial speed

$\theta=0$ because we are told the bullet is shot horizontally

is the time since the bullet is shot until it hits the ground

y-component:

$y=y_{o}+V_{o}sin\theta t-\frac{gt^{2}}{2}$ (2)

Where:

$y_{o}=1.5m$ is the initial height of the bullet

y=0 is the final height of the bullet (when it finally hits the ground)

$g=9.8m/s^{2}$ is the acceleration due gravity

Part (a):

Now, for the first part of this problem, the time the bullet elapsed traveling, we will use equation (2) with the conditions given above:

$0=1.5m+200m/s.sin(0) t-\frac{9.8m/s^{2}.t^{2}}{2}$ (3)

$0=1.5m-\frac{9.8m/s^{2}.t^{2}}{2}$ (4)

Finding :

$t=\sqrt{\frac{1.5m(2)}{9.8m/s^{2}}}$ (5)

Then we have the time elapsed before the bullet hits the ground:

t=0.553s (6)

Part (b):

For the second part of this problem, we are asked to find how far does the bullet traveled horizontally. This means we have to use the equation (1) related to the x-component:

$x=V_{o}cos\theta t$ (1)

Substituting the knonw values and the value of found in (6):

x=200m/s.cos(0)(0.553s) (7)

x=200m/s(0.553s) (8)

Finally:

x=110.656m

Answer from: Quest

answer: what are you talking about?

explanation:

Answer from: Quest

What even is this. where is the question

Other questions on the subject: Physics

Physics, 22.06.2019 00:30, AnastasiaJauregui

Two vectors are shown. which statement best compares the vectors? vector x has greater magnitude than vector y. vector y has greater magnitude than vector x. the vectors have the same displacement. the vectors have the same direction.

Answers: 1

continue

Physics, 22.06.2019 13:40, sbudlove2838

What is the thinnest soap film (excluding the case of zero thickness) that appears black when illuminated with light with a wavelength of 480 ? the index of refraction of the film is 1.34, and there is air on both sides of the film. express your answer in nanometers. hint 1. how to approach th

Answers: 1

continue

Physics, 22.06.2019 20:30, helpmeplz33

The great sandini is a 60.0-kg circus performer who is shot from a cannon (actually a spring gun). you don’t find many men of his caliber, so you him design a new gun. this new gun has a very large spring with a very small mass and a force constant of 1100 n/m that he will compress with a force of 4400 n. the inside of the gun barrel is coated with teflon, so the average friction force will be only 40.0 n during the 4.00 m he moves in the barrel. at what speed will he emerge from the end of the barrel, 2.50 m above his initial rest position?

Answers: 2

continue

Physics, 22.06.2019 22:30, lakhanir2013

You add 800 ml of water at 20c to 800 ml of water at 80c what is the most likely final temperature of the mixture ? a. 100c b. 60c c. 25 c d.50c

Answers: 1

continue

You know the right answer?

Abullet is shot horizontally from shoulder height (1.5 m) with an initial speed 200 m/s. (a) how muc...