Related InterviewSolutions

• A grasshopper can jump a maximum distance `1.6 m`. It spends negligible time on the ground. How far can it go in `10 s` ?
• If T is the total time of flight, h is the maximum height and R is the range for horizontal motion, the x and y coordinates of projectile motion and time t are related asA. `y = 4h (t/T)(1-t/T)`B. `y = 4h (x/R)(1-x/R)`C. `y = 4h (T/t)(1-T/t)`D. `y = 4h (R/x)(1-R/x)`
• A motor boat is to reach at a point `30^@` upstream on the outer side of a river flowing with velocity `5 ms^(-1)`. The velocity of motor boat with respect to water is `5(sqrt3) ms^(-1)`. The driver should steer the boat at an angle. A. `30^@` w.r.t. the line of destination from the starting point.B. `60^@` w.r.t. normal to the bank.C. `120^@` w.r.t. stream directionD. None of these
• A ball is projected from the origin. The x- and y-coordinates of its displacement are given by `x = 3t and y = 4t - 5t^2`. Find the velocity of projection `("in" ms^(-1))`.
• The acceleration - velocity graph of a particle moving in a straight line is shown in figure. Then the slope of the velocity- displacement graph A. increases linearlyB. decreases linearlyC. is constantD. increases parabolically
• 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))`
• A particle moves in a circle of radius R. In half the period of revolution its displacement is ………… and distance covered 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, thenA. `R_1/R_2gt1`B. `H_1/H_2gt1`C. `R_1/R_2lt1`D. `H_1/H_2lt1`
• 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
• Two graphs of the same projectile motion (in the xy-plane) projected from origin are shown. X-axis is along horizontal direction and y-axis is vertically upwards. Take `g = 10 ms^(-2)`. Projection angle with the horizontal is :A. `tan^(-1) (4/5)`B. `tan^(-1) (2/3)`C. `tan^(-1) (5/4)`D. `tan^(-1) (1/2)`