Projectile Motion Jumping Man Problem

In summary, a stunt man in an action movie jumps from one building to another 4.4 m away at an angle of 15◦ and a speed of 5.0 m/s. The other building is 2.2 m shorter and the acceleration of gravity is 9.81 m/s^2. To determine if he will make it, his vertical displacement upon reaching the front edge of the lower building with respect to the taller building must be found. Using the equations vx = vi cos theta, viy = vi sin theta, delta x = vx*delta t, and delta y = vix*delta t + (1/2)g(delta t)^2, the time is calculated to be .911
  • #1
dj0320
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Homework Statement



In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 4.4 m away. After a running start, he leaps at an angle of 15◦ with respect to the flat roof while traveling at a speed of 5.0 m/s. The acceleration of gravity is 9.81 m/s^2. To determine if he will make it to the other roof, which is 2.2 m shorter than the building from which he jumps, find his vertical displacement upon reaching the front edge of the lower building with respect to the taller building. Answer in units of m.

Homework Equations


vx = vi cos theta
viy = vi sin theta
delta x = vx*delta t
delta y = vix*delta t + (1/2)g(delta t)^2
I'm not sure which ones to use.


The Attempt at a Solution


vix = vi cos theta = 5 cos 15 = 4.8296
delta x = 4.4 (given)
4.4/4.8296 = time = .911

Then I'm stuck here.
 
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  • #2
Take the time you found, .911 seconds and plug it into your equation for vertical distance and see where the stunt guy is?
 

Related to Projectile Motion Jumping Man Problem

1. What is Projectile Motion Jumping Man Problem?

Projectile Motion Jumping Man Problem is a physics problem that involves a man jumping off a platform and moving through the air in a parabolic path before landing on the ground. It is a classic example of projectile motion, which is the motion of an object that is launched into the air and moves under the influence of gravity.

2. What are the key factors that affect the solution to Projectile Motion Jumping Man Problem?

The key factors that affect the solution to Projectile Motion Jumping Man Problem are the initial velocity, angle of launch, and the acceleration due to gravity. These factors determine the shape and distance of the parabolic path that the man follows.

3. How can the initial velocity and angle of launch be manipulated to achieve the longest horizontal distance for the jumping man?

To achieve the longest horizontal distance for the jumping man, the initial velocity must be high and the angle of launch must be close to 45 degrees. This is because at this angle, the initial velocity is divided equally into horizontal and vertical components, maximizing the horizontal distance traveled.

4. What is the equation used to calculate the maximum height reached by the jumping man?

The equation used to calculate the maximum height reached by the jumping man is h = (v2sin2θ)/2g, where h is the maximum height, v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.

5. How does air resistance affect the motion of the jumping man in Projectile Motion Jumping Man Problem?

In the idealized version of Projectile Motion Jumping Man Problem, air resistance is not taken into account. However, in real-life scenarios, air resistance can affect the motion of the jumping man, causing the trajectory to deviate from the ideal parabolic shape. This is because air resistance acts in the opposite direction to the velocity of the object, slowing it down and reducing its range.

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