This is a projectile motion problem. We need to find the time of flight, the horizontal range, and the final velocity.

Question

This is a projectile motion problem. We need to find the time of flight, the horizontal range, and the final velocity.

Asked on March 29, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

Accepted Answer · 2026-03-29T06:30:18.920Z

This is a projectile motion problem. We need to find the time of flight, the horizontal range, and the final velocity. Given: Initial horizontal velocity, $u_x = 50 \text{ m/s}$ Initial vertical velocity, $u_y = 0 \text{ m/s}$ (since it's fired horizontally) Height of the cliff, $h = 90 \text{ m}$ Acceleration due to gravity, $g = 10 \text{ m/s}^2$ Step 1: Calculate the time to strike the ground ($t$) We use the vertical motion equation: $$h = u_y t + \frac{1}{2} g t^2$$ Since $u_

Accepted Answer · 2026-03-29T06:30:18.920Z

This is a projectile motion problem. We need to find the time of flight, the horizontal range, and the final velocity. Given: Initial horizontal velocity, $u_x = 50 \text{ m/s}$ Initial vertical velocity, $u_y = 0 \text{ m/s}$ (since it's fired horizontally) Height of the cliff, $h = 90 \text{ m}$ Acceleration due to gravity, $g = 10 \text{ m/s}^2$ Step 1: Calculate the time to strike the ground ($t$) We use the vertical motion equation: $$h = u_y t + \frac{1}{2} g t^2$$ Since $u_