 Myself, Ms. Shailaja Daavarkonda, Assistant Professor in Civil Engineering Department, Volchen Institute of Technology, Sulapur. In today's lecture, we are going to study motion of body projected horizontally. At the end of this video, the viewers will be able to define projectile and to determine the parameters of the projectile. A freely projected particle moves in a curved path in a air is known as projectile. This combined effect of vertical and horizontal motion. Normally, whenever we will throw the particle upward, we will consider it as a vertical, but it is not in a vertical position. It is in curved position means whatever path traced by that particle is in curved position. So it will have the combined effect of vertical as well as horizontal motion. Now these are the some terms used in the projectile. Velocity of projectile, angle of projection, trajectory, horizontal range and time of flight. Velocity of the projectile is the velocity with which the particle is moved upward. Means if you observe this figure, in this figure, u is the vertical motion of the particle. So it will have some initial velocity. This velocity is called as velocity of projection. Then the angle making by this particle with the horizontal surface is called as angle of projection which is alpha, it is shown in figure means angle made by the particle with horizontal surface is called as angle of projectile. The next trajectory, it is the path traced by the particle. If you observe this figure here, when you throw this particle u in upward direction, it will trace a path means at some distance it will go upward and then after it will be reached to the horizontal surface which means it is traced by the curved path. So this curved path is called as trajectory. Then horizontal range, the distance of the particle from the origin and up to when it will touch the ground is called as horizontal range. If you observe this figure particle u is starting from the point A and after some distance it has reached again the ground level at this point. So this distance from point A is called as horizontal range. Then time of flight, whatever time taken by the particle to reach the ground surface is called as time of flight means when you drop this particle u in air and from that point or that time how much time it will take to touch again the ground surface is called as time of flight. So these are the some common words used in the projectile. Now motion of body projected horizontally. In this figure we have shown the motion of this particle is inclined. So in general I have explained what are the terms used in projectile. Now when the motion of particle is horizontal, so what are the differences we get we will see. Now consider the particle thrown is horizontally from the point A with the velocity u meter per second and the vertical motion with initial velocity 0 and moving acceleration due to gravity is 0. Now how to find the parameters like horizontal range, time of flight. Let consider h be the height of the particle from the A. So here it is horizontal ground surface and this particle is thrown from the h distance of from the ground surface. So by considering the vertical motion you will get initial velocity into t plus 1 half gt square. So here initial velocity is 0 means ut plus 1 half gt square. So as we know at the starting the initial velocity is 0. So you will get h is equal to 1 half gt square. This expression gives the time of flight. During this period the particle moves horizontally with uniform velocity u meter per second. Means by getting this equation you can also find out the time of flight. Now when the particle moves horizontally with the uniform velocity u meter per second the horizontal range you will get is equal to u into t. What is u here? It is velocity and t is the time of flight. So by using this equation you can find out the time of flight and by using this equation you can find out the distance of the particle moved horizontally. Now in this figure a pilot is flying is bomber at height of 200 meter from the ground level with an uniform velocity of 600 kilometer per hour. So you have to find out horizontal range means whenever you are dropping this bomb how much distance it will travel and it will touch to the ground you have to find out the horizontal range. As we know distance from the ground of particle is 200000 meter what is the uniform initial velocity it is 600 kilometer per hour. So you have to convert it so you will get 166.67 meter per second. As we know initial velocity in vertical direction is 0 because whenever you are dropping the particle the initial velocity is 0 and it will have the gravitational acceleration that is 9.81 meter per second square. If t is the time of flight we get we have to use the equation that is h is equal to 1 half gt square. So here it is if you put the value of h and gravitational acceleration in this equation it will be 2000 is equal to initial velocity is 0 that is 0 into t plus 1 half gravitational velocity is 1.981 into t square. So from this equation you will get time of flight is 20.19 second. After calculating the time of flight you have to calculate the horizontal distance of the particle. So to find out the horizontal distance of the particle it is r is equal to u into t means range is equal to initial velocity into time of flight. Here initial velocity is 166.67 and time you are finding that is 20.19. So you will get horizontal distance 3365.46 meter. So here after calculating the time of flight you have to calculate the horizontal distance that is nothing but range. So range you have to calculate by using equation u is equal to t. So here initial velocity is 166.67 into time of flight is 20.19. So by using this equation you will get horizontal range is equal to 3365.46 meter. The particle is travelling it will touch the ground at the time 20.19 second and the distance is 3365.46 meter. So likewise by using these equations you have to find the time of flight horizontal distance as well as in some case you have to find the height of the particle from the ground surface. Now by using the same concept try to solve this problem. You pause the video and try to solve the problem shown in figure. So these are some references considered for the study. Thank you.