Physics, 31.07.2019 15:30, raquelqueengucci25

Aprojectile is fired over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s. using g = 9.8 m/s2 , the distance from launching to landing points is:

Answers: 1

Show answers

Answers

answered: QueenNerdy889

The distance from launching to landing point (range) is 122.47 m

To calculate the range of the projectile, first, we need to find the angle of projection using the formula below.

Formula:

∅ = tan⁻¹(Vy/Vx) Equation 1

where:

∅ = Angle of projection.

Given:

Vy = 20 m/sVx = 30 m/s

Substitute these values into equation 1

∅ = tan⁻¹(20/30)∅ = tan⁻¹(0.667)∅ = 33.7°

Finally, we use the formula below to calculate the range of the projectile.

R = V²sin2∅/g Equation 2

Where:

R = Range of the projectile.V = Resultant velocity∅ = Angle of projectiong = acceleration due to gravity.

From the question,

Given:

V = √[(20²)+(30²)] = √(400+900) = √1300 m/s∅ = 33.7°g = 9.8 m/s².

Substitute these values into equation 2

R = (√1300)²sin(2×33.7)/9.8R = 1300(sin67.4)/9.8R = 1200.17/9.8R = 122.47 m.

Hence, The distance from launching to landing point (range) is 122.47 m.

Learn more about the range here: link

answered: CrownedQueen

First of all, let's write the equation of motions on both horizontal (x) and vertical (y) axis. It's a uniform motion on the x-axis, with constant speed v_x=30 m/s

, and an accelerated motion on the y-axis, with initial speed v_y=20 m/s

and acceleration g=9.81 m/s^2

$S_y(t)=v_y t- \frac{1}{2} gt^2$
where the negative sign in front of g means the acceleration points towards negative direction of y-axis (downward).

To find the distance from the landing point, we should find first the time at which the projectile hits the ground. This can be found by requiring
S_y(t)=0

Therefore:
$v_y t - \frac{1}{2}gt^2=0$
which has two solutions:
t=0

is the time of the beginning of the motion,
$t= \frac{2 v_y}{g} = \frac{2\cdot 20 m/s}{9.81 m/s^2}=4.08 s$ is the time at which the projectile hits the ground.

Now, we can find the distance covered on the horizontal axis during this time, and this is the distance from launching to landing point:
S_x(4.08 s)=v_x t=(30 m/s)(4.08 s)=122.4 m

S_x(4.08 s)=v_x t=(30 m/s)(4.08 s)=122.4 m

answered: Guest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

answered: Guest

Because they're in different places for this the temperature varies.

Other questions on the subject: Physics

Physics, 22.06.2019 00:50, Amandarobersonn

While goofing off at the ice skating rink, a student takes off her shoes and places each of them on the ice. her friend, a hockey player, then shoots a hockey puck at each shoe. the first puck immediately comes to rest after it collides with the left shoe. the second puck rebounds after it collides with the right shoe. if each hockey puck has the same incoming speed, which shoe has greater speed after the collision? the right shoe. both shoes have the same speed. the left shoe.

Answers: 3

continue

Physics, 22.06.2019 05:30, mlopezmanny5722

The a992 steel rod bc has a diameter of 50 mm and is used as a strut to support the beam. determine the maximum intensity w of the uniform distributed load that can be applied to the beam without risk of causing the strut to buckle. take f. s. = 2 against bucklin

Answers: 3

continue

Physics, 22.06.2019 19:00, marxusalexander4069

Why do different substances have diffrent properties

Answers: 1

continue

Physics, 23.06.2019 00:00, tyreque

The inner planets or call terrestrial because they

Answers: 2

continue

Do you know the correct answer?

Aprojectile is fired over level ground with an initial velocity that has a vertical component of 20...