An object is projected at an angle of 60 degrees with an initial velocity of 30

An object is projected at an angle of 60 degrees with an initial velocity of 30 m/s. What is the time of flight?

An object is projected at an angle of 60 degrees with an initial velocity of 30 m/s. What is the time of flight?

Step 1: Identify the given values. The initial velocity (u) is 30 m/s and the angle (θ) is 60 degrees.
Step 2: Convert the angle from degrees to radians if necessary, but here we can use the sine directly.
Step 3: Calculate the sine of the angle. sin(60 degrees) = √3/2.
Step 4: Use the formula for time of flight: T = (2u * sin(θ)) / g, where g is the acceleration due to gravity (approximately 9.8 m/s²).
Step 5: Substitute the values into the formula: T = (2 * 30 * √3/2) / 9.8.
Step 6: Simplify the equation: T = (30 * √3) / 9.8.
Step 7: Calculate the value of √3, which is approximately 1.732.
Step 8: Multiply 30 by 1.732 to get approximately 51.96.
Step 9: Divide 51.96 by 9.8 to find T: T ≈ 5.18 seconds.

Projectile Motion – The motion of an object projected into the air, influenced by gravity, characterized by its initial velocity, angle of projection, 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 under constant acceleration, such as the formula for time of flight in projectile motion.