Question

Use the equations (1) derived in ex. 5, section 12.5 handout, and assume that the projectile is fired from the origin at an angle with initial velocity:

a) What is the maxiμm height (m) attained by the projectile?

b) Find the range (horizontal distance, r) of the projectile.

Answer 1

To find the maximum height and range of a projectile, kinematic equations for projectile motion are utilized. The maximum height is calculated using the initial velocity and launch angle, and the range is calculated considering the projectile lands at the same elevation as its launch point.

Step-by-step explanation:

To calculate the maximum height and range of a projectile, we can use the kinematic equations of projectile motion. For the maximum height m attained by the projectile, we use the equation h = v²₀sin²θ / (2g), where v₀ is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity (9.8 m/s²).

The range r, or the horizontal distance of the projectile, can be found using the equation R = (v₀²sin(2θ)) / g, which applies when the projectile lands at the same elevation from which it was launched. To solve for these quantities, specific values for v₀ and θ are required provided by the problem.