Chapter 4: Motion

The angle between
and
is

a) 40^o

b) 90^o

c) -45^o

d) 180^o

Which one of the following statements is true?

Figure shows the orientation of two vectors u and v in the XY plane.

If
and
which of the following is correct?

a) a and p are positive while b and q are negative

b) a, p, and b are positive while q is negative

c) a, q, and b are positive while p is negative

d) a, b, p, and q are all positive

The component of a vector r along X-axis will have maximum value if

a) r is along positive Y-axis

b) r is along positive X-axis

c) r makes an angle of 45^o with the X-axis

d) r is along negative Y-axis

The horizontal range of a projectile fired at an angle of 15^o is 50 m. If it is fired with the same speed at an angle of 45^o, its range will be

a) 60 m

b) 71 m

c) 100 m

d) 141 m

Consider the quantities pressure, power, energy, impulse gravitational potential, electric charge, temperature, area. Out of these, the only vector quantities are

a) impulse, pressure, and area

b) impulse and area

c) area and gravitational potential

d) impulse and pressure

In a two dimensional motion, instantaneous speed v0 is a positive constant. Then which of the following are necessarily true?

In a two dimensional motion, instantaneous speed v₀ is a positive constant. Then which of the following are necessarily true?

Three vectors A, B, and C add up to zero. Find which is false

a) vector (A×B)C is not zero unless vectors B, C are parallel

d) vector (A×B).C is not zero unless vectors B, C are parallel

c) if vectors A, B, C define a plane, (A×B)C is in that plane

d) (A×B).C =
such that C² = A² + B²

It is found that
. This necessarily implies

a) B = 0

b) A, B are antiparallel

c) A, B are perpendicular

d) A.B ≤ 0