An aeroplane flies \(400\) m north and then \(300\) m west and then flies \(1200\) m upwards. Its net displacement is:
1. | \(1200\) m | 2. | \(1300\) m |
3. | \(1400\) m | 4. | \(1500\) m |
A projectile is thrown with an initial velocity ()m/s. Consider horizontal direction and vertical direction as x and y axes respectively. If the range of the projectile is double the maximum height, then is
(1) 4
(2) 3
(3) 2
(4) 1
A car is moving on a circular track at a speed of 20 m/s having a radius of 100 m. If it starts decelerating uniformly at the rate of , the angle made by the resultant acceleration with the direction of its instantaneous velocity is:
(1) 37°
(2) 127°
(3) 53°
(4) 143°
An object is moving on a circular path of the radius r with constant speed v. The average acceleration of the object, after it has travelled three and a half rounds, is
1.
2.
3.
4.
A sprinkler is deployed to irrigate the garden. The speed of water-jet from the sprinkler is u. The maximum area which can be irrigated by the sprinkler is
1.
2.
3.
4.
Which of the following is an appropriate expression for the radius of curvature of a projectile at the highest point? (R Range of projectile)
(1)
(2)
(3) 2R cot
(4) 2R tan
The coordinates of a particle moving in the x-y plane vary with time according to the following relation:
, .
The locus of the particle is:
(1) Parabola
(2) Circle
(3) Eclipse
(4) Hyperbola
If represents the instant at which the instantaneous velocity becomes perpendicular to the direction of initial velocity during a projectile and represents the time after which the particle attains maximum height, then is:
1.
2.
3.
4.
A park is in the shape of a regular hexagon. Six friends standing at each corner of the park start moving towards each other with the same speed 2 m/s and meet each other after 60 s. The side of the park is
(1) 120 m
(2) 30 m
(3) 240 m
(4) 60 m