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
Step 1: Identify the given values and formulas. Given: Initial velocity, u = 196 m/s Angle of projection, = 30^ Acceleration due to gravity, g = 9.8 m/s^2 a) Calculate the greatest height. The formula for the greatest height (H) is: H = (u^2 ^2 )/(2g) Substitute the given values: H = (196 m/s)^2 ( 30^)^22 × 9.8 m/s^2 H = 38416 m^2/s^2 × (0.5)^219.6 m/s^2 H = 38416 m^2/s^2 × 0.2519.6 m/s^2 H = 9604 m^2/s^219.6 m/s^2 H = 490 m The greatest height is 490 m. b) Calculate the time of flight. The formula for the time of flight (T) is: T = (2u )/(g) Substitute the given values: T = 2 × 196 m/s × 30^9.8 m/s^2 T = 2 × 196 m/s × 0.59.8 m/s^2 T = 196 m/s9.8 m/s^2 T = 20 s The time of flight is 20 s. Send me the next one 📸