Chapter 2: Kinematics, Laws of Motion & Non-Inertial Frames (Set-1)

A particle starts from rest and moves with constant acceleration a. Its velocity after time t is:

A v = u − at
B v = u + at
C v = u + a/t
D v = ut + a

For motion with constant acceleration, the equation v² = u² + 2as tells us that acceleration depends on:

A change in time
B change in displacement
C change in mass
D change in position only

The slope of a velocity–time graph represents:

A displacement
B acceleration
C jerk
D distance

A body thrown upwards has zero velocity at maximum height. Its acceleration at that point is:

A zero
B g upward
C g downward
D infinite

In projectile motion, the horizontal range depends on:

A only vertical component of velocity
B mass of projectile
C both horizontal and vertical components
D height only

For a projectile launched from ground, maximum height is:

A (v² sin²θ)/2g
B (v² cos²θ)/2g
C (v sinθ)/g
D (v² sinθ)/g

A particle has velocity components vx = 6 m/s and vy = 8 m/s. Its speed is:

A 6 m/s
B 8 m/s
C 10 m/s
D 14 m/s

The trajectory of a projectile is parabolic because:

A gravity acts upward
B horizontal velocity is zero
C vertical acceleration is constant
D speed is constant

A particle moves such that x = t², y = 2t. At t = 2 s, its velocity magnitude is:

A 2√5
B 4√5
C 4
D 6

Displacement is a:

A scalar
B vector
C tensor
D dimensionless quantity

If v–t graph is a horizontal straight line, acceleration is:

A constant non-zero
B increasing
C decreasing
D zero

A car moves 40 m in 5 s. Its average speed is:

A 4 m/s
B 8 m/s
C 10 m/s
D 20 m/s

A stone is dropped freely from rest. The distance it falls in 3 seconds is:

A 14.7 m
B 19.6 m
C 29.4 m
D 44.1 m

Unit of acceleration is:

A m/s
B m/s²
C N
D J

A runner increases speed from 2 m/s to 10 m/s in 4 s. Acceleration is:

A 1 m/s²
B 2 m/s²
C 3 m/s²
D 4 m/s²

In uniform circular motion, speed remains constant but:

A velocity is constant
B displacement is zero
C direction changes continuously
D acceleration is zero

A ball thrown horizontally from height h hits ground after time:

A depends on horizontal velocity
B independent of horizontal velocity
C inversely proportional to horizontal velocity
D infinite

The relative velocity of A w.r.t B is:

A vA + vB
B vA − vB
C vB − vA
D (vA vB)/2

In uniformly accelerated motion, the graph of displacement vs. time is a:

A straight line
B parabola
C hyperbola
D ellipse

Tangential acceleration affects:

A direction only
B magnitude only
C mass only
D neither

Centripetal acceleration is always directed:

A outward
B tangential
C toward center
D backward

For motion in 2D, speed is:

A vx + vy
B vx − vy
C √(vx² + vy²)
D vxvy

A body is at rest. Which is true?

A speed = 0, velocity ≠ 0
B speed ≠ 0, velocity = 0
C both are zero
D both are maximum

A body moving with constant speed can still accelerate if:

A direction of velocity changes
B force is zero
C displacement is zero
D mass decreases

The area under an acceleration–time graph gives:

A distance
B displacement
C velocity
D speed squared

Jerk is the rate of change of:

A velocity
B acceleration
C displacement
D momentum

Maximum height of projectile depends on:

A horizontal velocity only
B vertical component of velocity
C mass
D angle only

A body moves north at 6 m/s and east at 8 m/s simultaneously. Its direction is:

A 37° north of east
B 53° north of east
C 37° east of north
D 60° north of east

A car maintains constant velocity on a straight road. Net acceleration is:

A zero
B constant non-zero
C direction changes
D infinite

The equation y = x tanθ − (gx²)/(2u²cos²θ) represents:

A simple harmonic motion
B projectile path
C circular path
D parabolic mirror

A particle moves such that velocity increases uniformly. Its acceleration is:

A constant
B decreasing
C increasing
D unpredictable

Horizontal range is maximum when sin(2θ) =:

A 0
B 1
C 2
D –1

If an object travels equal distances in equal intervals of time, motion is:

A accelerated
B retarded
C uniform
D oscillatory

A ball thrown upward returns to the thrower. Its time to go up is:

A more than time to come down
B less
C equal
D zero

A cyclist moves with constant speed on circular track. The cyclist has:

A no velocity
B no acceleration
C centripetal acceleration
D no displacement

Instantaneous velocity is equal to:

A slope of distance–time graph
B slope of velocity–time graph
C area under distance–time graph
D second derivative of displacement

A particle has zero velocity but non-zero acceleration at an instant. Example:

A free fall at topmost point
B constant velocity
C stopping vehicle
D projectile at ground

Unit of jerk is:

A m/s
B m/s²
C m/s³
D m²/s

The dimension of velocity is:

A [L]
B [L/T]
C [L/T²]
D [T/L]

The direction of instantaneous velocity is along:

A average velocity direction
B tangent to path
C perpendicular to path
D radial direction

A person walks 3 km east then 4 km north. Displacement is:

A 5 km
B 7 km
C 1 km
D 12 km

A projectile fired horizontally has initial vertical velocity =

A g
B 0
C v
D u

A car accelerates at 2 m/s² from rest for 3 seconds. Final velocity is:

A 3 m/s
B 6 m/s
C 9 m/s
D 12 m/s

A train slows from 20 m/s to rest in 10 seconds. Acceleration is:

A −1 m/s²
B −2 m/s²
C −4 m/s²
D 0

When a body moves with varying speed, its acceleration:

A must be zero
B must be constant
C may vary
D infinite

Vector quantity among the following is:

A speed
B distance
C displacement
D mass

A projectile has maximum height H. Time to reach H is:

A u sinθ / g
B u cosθ / g
C u/g
D 2u/g

In uniform motion, the graph of position vs time is:

A straight line
B parabola
C circle
D cubic curve

If vx = 5 m/s and vy = 0, motion is:

A purely vertical
B purely horizontal
C parabolic
D circular

A person running east at 6 m/s sees rain falling vertically downward, but observer at rest sees rain slanted. This is due to:

A gravity
B relative velocity
C drag force
D Coriolis force