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Projectile motion is a 3-dimensional mot...

Projectile motion is a 3-dimensional motion. Is this statement true or false ?

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To determine whether the statement "Projectile motion is a 3-dimensional motion" is true or false, we can analyze the nature of projectile motion step by step. ### Step-by-Step Solution: 1. **Understanding Projectile Motion**: - Projectile motion refers to the motion of an object that is thrown into the air and is subject to the force of gravity. It follows a curved path known as a trajectory. 2. **Coordinate System**: ...
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Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ltthetalt180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: A particle is projected from the origin in the x-y plane. The acceleration of particle in negative y-direction is alpha . If equation of path of the particle is y = ax - bx^2 , then initial velocity of the particle is

Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ lt theta lt 180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: An object is projected from origin in x-y plane in which velocity changes according to relation vecv = a hati + bx hatj . Path of particle is

Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ltthetalt180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: A body is projected at angle of 30^@ and 60^@ with the same velocity. Their horizontal ranges are R_1 and R_2 and maximum heights are H_1 and H_2 , respectively, then A body is projected at angle of 30^@ and 60^@ with the same velocity. Their horizontal ranges are R_1 and R_2 and maximum heights are H_1 and H_2 , respectively, then