Figure shows the orientation of two vectors u and v in the xy-plane.
If $\mathbf{u} = a\hat{i} + b\hat{j}$ and $\mathbf{v} = p\hat{i} + q\hat{j}$
Which of the following is correct?
a and p are positive while b and q are negative
a, p and b are positive while q is negative
a, q and b are positive while p is negative
a, b, p and q are all positive
The component of a vector r along X-axis will have maximum value if
r is along positive Y-axis
r is along positive X-axis
r makes an angle of 45° with the X-axis
r is along negative Y-axis
The horizontal range of a projectile fired at an angle of 15° is 50 m. If it is fired with the same speed at an angle of 45°, its range will be
60 m
71 m
100 m
141 m
Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are
impulse, pressure and area
impulse and area
area and gravitational potential
impulse and pressure
In a two dimensional motion, instantaneous speed $v_0$ is a positive constant. Then, which of the following are necessarily true?
The average velocity is not zero at any time
Average acceleration must always vanish
Displacements in equal time intervals are equal
Equal path lengths are traversed in equal intervals