A ball is projected horizontally from a height of 100 m from the ground with a speed of 20 m /

step 1 So let's solve this question. We have T equals to root 2H by G that equals to 200 by 10 that equ

A ball is projected horizontally from a height of 100 m...

A ball is projected horizontally from a height of $100 \mathrm{~m}$ from the ground with a speed of $20 \mathrm{~m} / \mathrm{s}$. Find: (a) the time taken to reach the ground, (b) the horizontal distance it covers before striking the ground, and (c) the velocity with which it strikes the ground. Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$.

A ball is projected horizontally from a height of $100 \mathrm{~m}$ from the ground with a speed of $20 \mathrm{~m} / \mathrm{s}$. Find:
(a) the time taken to reach the ground,
(b) the horizontal distance it covers before striking the ground, and
(c) the velocity with which it strikes the ground. Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$.

Key Concepts

Projectile Motion

Projectile motion involves the motion of an object that is projected into the air and is subject only to the acceleration due to gravity. This type of motion is characterized by a constant horizontal velocity and an accelerated motion in the vertical direction, which allows the analysis of each component separately.

Kinematic Equations

Kinematic equations relate displacement, velocity, acceleration, and time for objects in motion. Under constant acceleration, these equations can be applied to determine quantities like time of flight, displacement, and final velocity, especially in contexts involving free-fall or uniform acceleration.

Independence of Motion Components

The principle of independence of motion states that the horizontal and vertical motions of a projectile are independent of each other. The horizontal component maintains a constant speed (in the absence of air resistance), while the vertical component is subject to constant acceleration due to gravity. This concept is crucial for solving problems in projectile motion.

Vector Addition of Velocities

To determine the resultant velocity of a projectile, one must combine the independent horizontal and vertical velocity components using vector addition. The magnitude and direction of the final velocity are calculated by treating these components as orthogonal vectors, often involving the use of the Pythagorean theorem and trigonometric functions.

Please give Ace some feedback