Projectile Motion - (Time) Above Ground - General Launch Angle At a height h = unknown...

Projectile Motion - (Time) Above Ground - General Launch Angle

At a height h = unknown above the ground a rocket is fired at an initial speed v0 = 142.0 m/s at an angle θ = 42° above the horizontal. After a time = 25.2 s the rocket hits the ground. Ignore air resistance.

The magnitude of the gravitational acceleration is 9.8 m/s2.

Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction

Keep 2 decimal places in all answers

Find v0x, the x component of the initial velocity (in m/s)

Find v0y, the y component of the initial velocity (in m/s)

(a) What maximum height (in meters) above the intial location does the rocket reach?

(b) How long (in seconds) does it take the rocket to reach the maximum heght?

What is the rocket's initial height h (in meters) above the ground? Report h as positive.

(d) What is the vertical component of the velocity (in m/s) just before the rocket hits the ground? Pay attention to the direction (the sign).

(e) What is the magnitude of the velocity (including both the horizontal and vertical components) (in m/s) of the rocket just before it hits the ground?

(f) What is the direction of the velocity of the rocket just before it hits the ground?

Report the direction by an angle COUNTERCLOCKWISE from the +x axis.

Solutions

Expert Solution

genius_generous answered 10 months ago

Next > < Previous

Related Solutions

Consider a projectile launched at a height h feet above the ground and at an angle...

Consider a projectile launched at a height h feet above the ground and at an angle θ with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(θ)) and y = h + (v0 sin(θ))t − 16t2. The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit h = 3 feet above the...

Projectile Motion - From Ground - General Launch Angle A rocket is fired at an initial...

Projectile Motion - From Ground - General Launch Angle A rocket is fired at an initial speed v0 = 160.0 m/s from ground level, at an angle θ = 46° above the horizontal. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction Keep 2 decimal places in all answers A. Find v0x, the x component of the initial velocity (in m/s) B.Find v0y, the y component...

Imagine an example of projectile motion in which the launch angle is 30o above the horizontal,...

Imagine an example of projectile motion in which the launch angle is 30o above the horizontal, the launch position is 3 m above the ground, and the launch speed is 15 m/s. Where could you place a target on the ground so that it will “catch” the projectile when it lands?

Projectile Motion A projectile, launched over level ground from a height of 450 meters above the...

Projectile Motion A projectile, launched over level ground from a height of 450 meters above the flat sur face below, has an initial speed of 175 m/s . The projectile is launched at a 43.5 degree angle in relation to the horizontal direction a What are the initial horizontal and vertical components of the velocity of the projec tile? bIn terms of the initial horizontal and vertical components of the velocity, write down equations for the motion of the x...

Projectile Motion - Rocket Clears Wall - General Launch Angle A rocket is fired at an...

Projectile Motion - Rocket Clears Wall - General Launch Angle A rocket is fired at an initial speed v0 = 165.0 m/s from ground level, at an angle θ = 50° above the horizontal. A wall is located at d = 67.0 m. Its heigh is h = 47.0 m. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction Find v0x, the x component of the...

A projectile is fired at a height of 2 meters above the ground with an initial...

A projectile is fired at a height of 2 meters above the ground with an initial velocity of 100 meteres per second at an angle of 35° with the horizontal. Round each result to the nearest tenths of a unit. a) Find the vector-valued function describing the motion b) Find the max height c) How long was the projectile in the air d) Find the range

Projectile Motion 2D A batter hits a ball with initial speed 20m/s at a launch angle...

Projectile Motion 2D A batter hits a ball with initial speed 20m/s at a launch angle of 60

You launch a projectile horizontally from a building 29.5 m above the ground at another building...

You launch a projectile horizontally from a building 29.5 m above the ground at another building 40.6 m away from the first building. The projectile strikes the second building 14.0 m above the ground. What was the projectile s launch speed? 22.84 m/s 16.56 m/s 24.03 m/s 30.04 m/s

For projectile motion on level ground assuming negligible air resistance (the initial angle being neither 0o...

For projectile motion on level ground assuming negligible air resistance (the initial angle being neither 0o nor 90o): Can the speed ever be the same as the initial speed at a time other than at t = 0 ? a. No b. Yes, at the end of the arch (end of trajectory) c. Yes, at its maximum height d. Yes, at half of its maximum height

What is the effect on range and maximum height of a projectile as the launch height,...

What is the effect on range and maximum height of a projectile as the launch height, speed, and launch angle are increased?

Subjects