Question

Obtain an expression for time of flight.

   Obtain an expression for time of flight.

Physics (Class 10)

Physics (Class 10)

Trishna Knowledge… 2nd Edition

Chapter 1, Problem 22

Instant Answer

Solved by Expert Veronica Santana

05/30/2020

Step 1

The initial velocity can be decomposed into horizontal and vertical components: \( v_{0x} = v_0 \cos \theta \) and \( v_{0y} = v_0 \sin \theta \). Show more…

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Obtain an expression for time of flight.

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Key Concepts

Kinematic Equations

Kinematic equations are the mathematical formulas used to describe the motion of objects under constant acceleration. They provide relationships between displacement, velocity, acceleration, and time, and are fundamental in deriving expressions such as the time of flight in projectile motion.

Projectile Motion

Projectile motion deals with objects that are launched into the air and move under the influence of gravity alone. This topic covers the analysis of the path (trajectory) of the projectile, and key parameters such as range, maximum height, and time of flight, all of which are derived by separately analyzing motion in the horizontal and vertical directions.

Vertical Component of Motion

The vertical component of motion in projectile problems involves analyzing the initial vertical speed and the effect of gravitational acceleration. Since gravity decelerates the projectile as it rises and accelerates it as it falls, it is the vertical motion that primarily determines the overall time the projectile is in the air (time of flight).

Acceleration Due to Gravity

Acceleration due to gravity is the constant force that causes objects to accelerate downwards toward the Earth. It is a crucial factor in all projectile motion calculations as it governs the rate at which the vertical component of the projectile's velocity changes over time.

Time of Flight

Time of flight refers to the total duration that a projectile remains in motion from the moment it is launched until it reaches its landing point. The expression for time of flight is derived using the kinematic equations applied to the vertical motion, taking into account the initial vertical velocity and the acceleration due to gravity.

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