Question

Rho the rooster jumps with an initial velocity of 19.6 m/s [East 60o Up] on level ground and later lands on a 0.98 m high fence post. Determine the rooster’s air time, distance to the fence post and impact velocity.

Answer 1

Rho the rooster's motion can be analyzed by resolving the initial velocity into horizontal and vertical components. Air time can be found using kinematic equations for vertical motion, and distance is obtained by multiplying air time by horizontal velocity. Impact velocity is the combination of horizontal and vertical velocities upon landing.

Step-by-step explanation:

To solve for Rho the rooster's air time, distance to the fence post, and impact velocity, it's necessary to resolve the initial velocity into horizontal and vertical components using trigonometric functions, considering the projectile motion principles.

The initial velocity given is 19.6 m/s [East 60° Up]. The horizontal component (Vx) and the vertical component (Vy) of the velocity can be calculated using cosine and sine functions, respectively:

• Vx = V × cos(θ)
• Vy = V × sin(θ)

To find the air time, the problem can be treated as a vertical motion query. Considering the acceleration due to gravity and the difference in height, we can use kinematic equations to solve for time.

For distance to the fence post, we multiply the air time by the horizontal velocity. For impact velocity, we consider both the vertical and horizontal components upon landing.