Related InterviewSolutions

• A particle leaves the origin with initial velocity `vec(v)_(0)=11hat(i)+14 hat(j) m//s`. It undergoes a constant acceleration given by `vec(a)=-22/5 hat(i)+2/15 hat(j) m//s^(2)`. When does the particle cross the y-axis ?A. At angle `37^(@)` from +x-axis towards +y-axisB. At angle `37^(@)` from -x-axis towards +y-axisC. At angle `53^(@)` from +x axis towards +y-axisD. At angle `53^(@)` from -x-axis towards +y-axis
• A light body is projected with a velocity `(10hat(i)+20 hat(j)+20 hat(k)) ms^(-1)`. Wind blows along X-axis with an acceleration of `2.5 ms^(2)`. If Y-axis is vertical then the speed of particle after 2 second will be `(g=10 ms^(2))`A. `25 ms^(-1)`B. `10sqrt(5) ms^(-1)`C. `30 ms^(-1)`D. none of these
• Wind is blowing in the north direction at speed of 2 m/s which causes the rain to fall at some angle with the vertical. With what velocity should acyclist drive so that the rain appears vertical to him:A. 2 m/s southB. 2m/s northC. 4 m/s westD. 4m/s south
• An object moves to the East across a frictionless surface with constant speed. A person then applies a constant force to the North on the object. What is the resulting path that the object takes ?A. A straight line path partly Eastward, partly NorthwardB. A straight line path totally to the NorthC. A parabolic path opening toward the NorthD. A parabolic path opening toward the East
• An elevator car (lift) is moving upward with uniform acceleration of `2 m//s^(2)`. At the instant, when its velocity is 2 m/s upwards a ball thrown upward from its floor. The ball strikes back the floor 2s after its projection. Find the velocity of projection of the ball relative to the lift.A. `10 m//s uarr`B. `10 m//s darr`C. `12 m//s uarr`D. `12 m//s darr`
• A body A is thrown vertically upwards with such a velocity that it reaches a maximum height of h. Simultaneously, another body B is dropped from height h. It strikes the ground and does not rebound. The velocity of A relative to B versus time graph is best represented by (upward direction is positive).A. B. C. D.
• A large rectangular box moves vertically downward with an acceleration `a`. A toy gun fixed at `A` and aimed towards `C` fires a particle `P`. A. P will hit C if a = gB. P will hit the roof BC, if `a gt g`C. P will hit the wall CD if `a lt g`D. May be either (A), (B) or (C), depending on the speed of projection of P
• A `2-m` wide truck is moving with a uniform speed `v_(0)=8 ms^(-1)` along a straight horizontal road. `A` pedestrian starts to cross the road with a uniform speed `v` when the truck is `4 m` away from him, The minimum value of `v` so that he can cross the road safely is .A. `1.6sqrt()5` m/sB. `1.2 sqrt()5` m/sC. `1.2 sqrt()7` m/sD. `1.6sqrt()7` m/s
• The position vector of a particle is determined by the expression `vec r = 3t^2 hat i+ 4t^2 hat j + 7 hat k`. The displacement traversed in first `10` seconds is :A. 100 mB. 150 mC. 500 mD. 300 m
• A projectile of mass `1kg` is projected with a velocity of `sqrt(20)m//s` such that it strikes on the same level as the point of projection at a distance of `sqrt(3)m`. Which of the following options are incorrect:A. The maximum height reached by the projectile can be 0.25 m.B. The minimum velocity during its motion can be `sqrt()5` m/s.C. The time taken for the flight can be `sqrt(3//5) s`.D. Minimum kinetic energy during its motion can be 6 J.