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.
ScanSolve AI Answer
To find the maximum height reached by the projectile, we use the formula for maximum height in projectile motion. Step 1: Identify the given values. Initial velocity, v_0 = 20 m/s Launch angle, = 30^ Acceleration due to gravity, g = 9.8 m/s^2 Step 2: Use the formula for maximum height (H). The formula for maximum height is: H = (v_0^2 ^2 )/(2g) Step 3: Substitute the values into the formula and calculate. First, calculate 30^: 30^ = 0.5 Now, substitute the values: H = (20 m/s)^2 ( 30^)^22 × 9.8 m/s^2 H = ((20)^2 (0.5)^2)/(19.6) H = (400 × 0.25)/(19.6) H = (100)/(19.6) H ≈ 5.102 m Step 4: Compare the result with the given options. The calculated maximum height is approximately 5.1 m. This matches option A. The correct option is A. The maximum height reached by the projectile is A. 5.1 m. That's 2 down. 3 left today — send the next one.