Motion in a Plane

JEE Main 2025 (Online) 29th January Morning ShiftNumericalMedium📈 Topic in 37% papers+4

Ques. 1JEE Main 2025, 29 January (Morning Shift)

The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer at rest on the bank is cm. (Take g = 10 m/s2)

Answer

2000

Solution

Velocity of boat relative to bank (downstream, at maximum speed): 27 + 9 = 36 km/h = 10 m/s

For the observer on the bank, the ball has horizontal velocity ux = 10 m/s and vertical velocity uy = 10 m/s.

Time of flight: T = 2uyg = 2 1010 = 2 s

Range: R = ux T = 10 2 = 20 m

R = 2000 cm

Answer: 2000

Keep practising — Motion in a Plane

Ques. 2JEE Main 2025, 24 January (Evening Shift)

The position vector of a moving body at any instant of time is given as r= (5t2 i-5t j ) m. The magnitude and direction of velocity at t=2 s is,

5 17 m/s, making an angle of -14 with -ve Y axis
5 15 m/s, making an angle of -14 with +ve X axis
5 17 m/s, making an angle of -14 with +ve X axis
5 15 m/s, making an angle of -14 with -ve Y axis

Ques. 3JEE Main 2025, 23 January (Morning Shift)

Two particles are located at equal distance from origin. The position vectors of those are represented by A=2 i+3n j+2 k and B=2 i-2 j+4p k, respectively. If both the vectors are at right angle to each other, the value of n-1 is .

Ques. 4JEE Main 2025, 23 January (Evening Shift)

A ball having kinetic energy KE, is projected at an angle of 60 from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?

(KE)2
(KE)8
(KE)4
(KE)16

Ques. 5JEE Main 2025, 22 January (Morning Shift)

A particle is projected at an angle of 30 from horizontal at a speed of 60 m/s. The height traversed by the particle in the first second is h0 and height traversed in the last second, before it reaches the maximum height, is h1. The ratio h0:h1 is . [Take, g=10 m/s2 ]

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 JEE Main Physics chapters

Class 11Units and Measurements Motion in a Straight Line Motion in a Plane Laws of Motion Work, Energy and Power System of Particles and Rotational Motion Gravitation Mechanical Properties of Solids Mechanical Properties of Fluids Thermal Properties of Matter Thermodynamics (Physics)Kinetic Theory Oscillations Waves

Class 12Electric Charges and Fields Electrostatic Potential and Capacitance Current Electricity Moving Charges and Magnetism Magnetism and Matter Electromagnetic Induction Alternating Current Electromagnetic Waves Ray Optics and Optical Instruments Wave Optics Dual Nature of Radiation and Matter Atoms Nuclei Semiconductor Electronics Experimental Skills (Physics)