Motion in a Plane: Two-Dimensional Motion

In this quiz, you will find questions related to the different types of two-dimensional motions, equations of 2-d motions.

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A body of mass 5 kg, projected at an angle of 60° from the ground with an initial velocity of 25 m/s, acceleration due to gravity is g = 10 m/s2, what is the maximum horizontal range covered?

54.13 m 49 m 49.16 m 60 m

A body of mass 10 kg, projected at an angle of 30° from the ground with an initial velocity of 5 m/s, acceleration due to gravity is g = 10 m/s2, what is the time of flight?

0.866s 1.86 s 1.96 s 1.862 s

On calculating which of the following quantities, the mass of the body has an effect in simple projectile motion?

Velocity Force Time of flight Range

A body of mass 500 gram is rotating in a vertical circle of radius 1 m. What is the difference in its kinetic energies at the top and the bottom of the circle?

4.9 J 19.8 J 2.8 J 9.8 J

A particle has a displacement of 2 units along the x -axis, 1 unit along the y – axis and 2 units along the z – axis. Then the resultant displacement of the particle is

3 units 5 units 4 units 1 units

A car is moving on a circular path and takes a turn. If R1 and R² are the reactions on the inner and outer wheels respectively, then

R1 = >R² R1 = R² R1 < R² R1 > R²

The angle between centripetal acceleration and tangential acceleration is?

180° 0° 90° 45°

Large angle produces?

high trajectory curve trajectory flat trajectory straight trajectory

A small body attached at the end of an inextensible string completes a vertical circle, then its

angular momentum remains constant linear momentum remains constant angular velocity remains constant total mechanical energy remains constant

A body makes a displacement of 4 m due East from a point O and then makes displacement of 3 m due North. Its resultant displacement from O

7 m 1 m 5 m 1 . 2 m

A body is traveling in a circle at constant speed. It

has an inward acceleration has constant velocity. has no acceleration has an outward radial acceleration

When a body P moves on a circular path, the centripetal acceleration is

directed inwards from P, to the centre of the circle directed tangential to the circumference of the circle, at P directed perpendicular to the planc of the circle, at P directed outward, perpendicular to the circumference of the circle

A cyclist goes around a circular path of circumference 34.3 m in √22 s. The angle made by him, with the vertical, is

44 degrees

42 degrees

43 degrees

45 degrees

A tennis ball rolls off the top of a staircase way with a horizontal velocity u ms–1. If the steps are b meter wide and h meter high, the ball will hit the edge of the nth step, if

$n = \frac{{2hu}}{{gb^2 }}$