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 isA. HyperbolicB. CircularC. EllipticalD. parabolic

Projectile motion is a combination of two one-dimensional motion: one

1.	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 isA. HyperbolicB. CircularC. EllipticalD. parabolic
Answer» Correct Answer - D d. `vecv = ahati + bxhatj , v_x = a or dx = adt rArr x = at` `v_y = bx = bat or y = (bat^2)/2` `rArr y = (ba)/2(x/a)^2 rArr y prop x^2 rarr parabolic`

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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 isA. `sqrt(alpha/(2b))`B. `sqrt((alpha(1+a^2))/(2b))`C. `sqrt(alpha/(a^2))`D. `sqrt((alphab)/(a^2))`
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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 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, thenA. `R_1/R_2gt1`B. `H_1/H_2gt1`C. `R_1/R_2lt1`D. `H_1/H_2lt1`
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