A projectile is launched with a speed of 50 m/s at an angle of 30 degrees. What

A projectile is launched with a speed of 50 m/s at an angle of 30 degrees. What is the time of flight?

A projectile is launched with a speed of 50 m/s at an angle of 30 degrees. What is the time of flight?

Correct Answer: 10.2 s

Step 1: Identify the initial speed (u) of the projectile, which is given as 50 m/s.
Step 2: Identify the angle of launch (θ), which is given as 30 degrees.
Step 3: Convert the angle from degrees to radians if necessary, but here we can use the sine directly.
Step 4: Calculate the sine of the angle: sin(30 degrees) = 1/2.
Step 5: Use the formula for time of flight: T = (2 * u * sin(θ)) / g.
Step 6: Substitute the values into the formula: T = (2 * 50 * (1/2)) / 9.8.
Step 7: Simplify the equation: T = (50) / 9.8.
Step 8: Calculate the final value: T ≈ 5.1 seconds.

Projectile Motion – The motion of an object thrown into the air, subject to gravitational acceleration, characterized by its initial speed, launch angle, and time of flight.
Trigonometric Functions – The use of sine and cosine functions to resolve the initial velocity into horizontal and vertical components.
Kinematic Equations – Equations that describe the motion of objects, particularly how time, velocity, and acceleration relate in projectile motion.