A particle has initial velocity (3i + 4j) and has acceleration (0.4i + 0.3j). Its speed after 10 s is (a) 7 units (b) 7√(2) units (c) 8.5 units (d) 10 units

Answer: (b). v = u + a t = (3 + 4) i + (4 + 3) j = 7 i + 7 j Speed = √(49 + 49) = 7√2 units So the answer is (b) 7√2 units.

A particle has initial velocity (3i + 4j) and has acceleration (0.4i… | NEET 2010 (AIPMT, Prelims)

Q21NEET 2010 · AIPMT · PRELIMSEasy

Motion in a Plane (2-D Kinematics)

A particle has initial velocity $\left(3\hat{i} + 4\hat{j}\right)$ and has acceleration $\left(0.4\hat{i} + 0.3\hat{j}\right).$ Its speed after 10 s is

Show answer and solution

Answer: (b)

$\vec v = \vec u + \vec a t = (3 + 4)\hat i + (4 + 3)\hat j = 7\hat i + 7\hat j$
Speed $= \sqrt{49 + 49} = 7\sqrt2$ units
So the answer is (b) $7\sqrt2$ units.

Report a mistake

More questions on Motion in a Plane (2-D Kinematics)

A particle is moving with velocity v = k(yi + xj), where K is a constant. The general…JEE Main 2010 (AIEEE)
A particle has an initial velocity 3i + 4j and an acceleration of 0.4i + 0.3j. Its speed…JEE Main 2009 (AIEEE)
A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane…NEET 2007 (AIPMT)
A particle is moving eastwards with a velocity of 5 m/s. In 10 seconds the velocity…JEE Main 2005 (AIEEE)
Two particles A and B are connected by a rigid rod AB. The rod slides along perpendicular…NEET 1998 (AIPMT)
The position vector of a particle is r = (a cos ω t)i + (a sin ω t)j. The velocity of the…NEET 1995 (AIPMT)
A bus is moving on a straight road towards north with a uniform speed of 50 km/hour then…NEET 1989 (AIPMT)
The position vector of a moving body at any instant of time is given as r = (5t²i - 5tj)…JEE Main 2025 (24 Jan, Shift 2)

Motion in a Plane (2-D Kinematics) question from NEET 2010 (AIPMT, Prelims)

More questions on Motion in a Plane (2-D Kinematics)