The object will strike the ground at a distance of from the base of the cliff.
Further explanation:
This is a problem of projectile motion. When an object is thrown horizontally from a certain height, the object moves both in X and Y direction under the action of the acceleration due to gravity.
Given:
The initial velocity with which an object is thrown horizontally is .
The object strikes the ground later so the total time of flight is .
Concept:
First we choose the coordinate axis.
So let’s assume east direction as the positive X axis and vertical upward direction as the positive Y axis.
During the whole flight object is subjected to a downward acceleration . In horizontal direction external force on the object is zero so acceleration in X direction will be zero.
Analyze the motion of object in both X and Y direction:
In X direction,
Let the distance traveled by an object in X-direction is .
Acceleration is defined as the rate of change of velocity. Here, in X direction the acceleration is zero; therefore velocity of object will remain same in X direction throughout the motion.
Use the second equation of motion:
Substitute for , for and for in the above expression.
Thus, the object will strike the ground at a distance of from the base of the cliff.
Learn More:
1. A 30kg box being pulled across a carpeted floor brainly.com/question/7031524
2. During soccer practice, maya kicked a soccer ball at 37 degree brainly.com/question/11023695
3. Conservation of momentum during collision brainly.com/question/9484203
Answer Details:
Grade: High School
Subject: Physics
Chapter: Projectile motion
Keywords:
object, horizontally, thrown, cliff, height, initial velocity, strikes, ground, base, 5m/s, 3 sec, distance, acceleration due to gravity, X direction, Y-direction.