Let P (x, y) be the position of the particle at instant after t second. Refer this video for better understanding about projectile motion:-Īssuming the point of projection as the origin of co-ordinates and horizontal direction as the x-axis and vertical direction as the y-axis. Horizontal Range (OA=X) = Horizontal velocity × Time of flightĪt the highest point of the trajectory, vertical component of velocity is zero. Use equation b.Īs t cannot equal to zero, then, total time of flight, When body returns to the same horizontal level, the resultant displacement in vertical y-direction is zero. Here we use different equation of motions of one dimension derived earlier to get the different parameters. Velocity and accelerations can be resolved into two components: (b) Along the horizontal x-axis with a uniform velocity forward.Ĭonsider a particle projected with an initial velocity u at an angle θ with the horizontal x-axis as shown in figure shown below. (a) Along the vertical y-axis with a uniform downward acceleration 'g' and Hence it is easier to analyze the motion of projectile as composed of two simultaneous rectilinear motions which are independent of each other: To analyze the projectile motion we use the following concept "Resolution of two dimensional motion into two one dimension motion" as discussed earlier. Now we discuss some example of curved motion or two dimensional motion of constant acceleration such as the motion of constant acceleration such as the motion of a particle projected at certain angle with the horizontal in vertical x-y plane (this type of motion is called projectile motion). Air resistance to the motion of the body is to be assumed absent in this type of motion.Ī body projected into the space and is no longer being propelled by fuel is called a projectile. Concepts of Physics by HC Verma for JEE.IIT JEE Coaching For Foundation Classes.
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