PYQSide ExamsMy practice

Motion in a Plane · Question 20

AIPMT 2014MCQEasy📈 Topic in 38% papers+4−1
1

A projectile is fired from the surface of the earth with a velocity of 5 m s-1 and angle with the horizontal. Another projectile fired from another planet with a velocity of 3 m s-1 at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet (in m s-2) is (Given g = 9.8 m s-2)

  1. 3.5
  2. 5.9
  3. 16.3
  4. 110.8

Answer

(1) 3.5

Solution

Equation of trajectory: y = x - g x22u2 2

Identical trajectories at the same ⇒ gu2 is the same:

g'32 = 9.852

⇒ g' = 9 9.825

= 3.53 3.5 m s-2

Answer: (1)

AIPMT 2014

Keep practising — Motion in a Plane

2

A particle is moving such that its position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m) at time t = 2 s and (13 m, 14 m) at time t = 5 s. Average velocity vector ( vav) from t = 0 to t = 5 s is

  1. 15 (13 i + 14 j )
  2. 73 ( i + j )
  3. 2 ( i + j )
  4. 115 ( i + j )
AIPMT 2014
3

The velocity of a projectile at the initial point A is (2 i + 3 j) m/s. Its velocity (in m/s) at point B is [figure]

  1. 2 i - 3 j
  2. 2 i + 3 j
  3. -2 i - 3 j
  4. -2 i + 3 j
NEET 2013
4

Vectors A, B and C are such that A B = 0 and A C = 0. Then the vector parallel to A is

  1. A B
  2. B + C
  3. B C
  4. B and C
NEET 2013 (Karnataka)
5

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is

  1. = -1 ( 14 )
  2. = -1(4)
  3. = -1(2)
  4. = 45
AIPMT 2012 (Prelims)
6

A particle has initial velocity (2 i + 3 j ) and acceleration (0.3 i + 0.2 j ). The magnitude of velocity after 10 seconds will be

  1. 9 2 units
  2. 5 2 units
  3. 5 units
  4. 9 units
AIPMT 2012 (Prelims)
7

A projectile is fired at an angle of 45 with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is

  1. 45
  2. 60
  3. -1 ( 12 )
  4. -1 ( 32 )
AIPMT 2011 (Mains)
8

A particle moves in a circle of radius 5 cm with constant speed and time period 0.2 s. The acceleration of the particle is

  1. 15 m/s2
  2. 25 m/s2
  3. 36 m/s2
  4. 5 m/s2
AIPMT 2011 (Prelims)
9

A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is

  1. 40 m
  2. 50 m
  3. 60 m
  4. 20 m
AIPMT 2011 (Prelims)
10

A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is

  1. 1 m/s2
  2. 7 m/s2
  3. 7 m/s2
  4. 5 m/s2
AIPMT 2011 (Prelims)
11

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

  1. 60
  2. 15
  3. 30
  4. 45
AIPMT 2010 (Mains)

All Motion in a Plane PYQs →

PDFDownload Motion in a Plane PYQs as PDF Free, with answer key and a QR code to every solution — print it or study offline⬇
All NEET Physics chapters
Class 11Units and MeasurementsMotion in a Straight LineMotion in a PlaneLaws of MotionWork, Energy and PowerSystem of Particles and Rotational MotionGravitationMechanical Properties of SolidsMechanical Properties of FluidsThermal Properties of MatterThermodynamics (Physics)Kinetic TheoryOscillationsWaves
Class 12Electric Charges and FieldsElectrostatic Potential and CapacitanceCurrent ElectricityMoving Charges and MagnetismMagnetism and MatterElectromagnetic InductionAlternating CurrentElectromagnetic WavesRay Optics and Optical InstrumentsWave OpticsDual Nature of Radiation and MatterAtomsNucleiSemiconductor ElectronicsExperimental Skills (Physics)