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
In a two dimensional motion, instantaneous speed $v_0$ is a positive constant. Then, which of the following are necessarily true?
The acceleration of the particle is zero
The acceleration of the particle is bounded
The acceleration of the particle is necessarily in the plane of motion
The particle must be undergoing a uniform circular motion
Three vectors A, B and C add up to zero. Find which is false.
(A × B) × C is not zero unless B, C are parallel
(A × B) . C is not zero unless B, C are parallel
If A, B, C define a plane, (A × B) × C is in that plane
(A × B) . C = |A| |B| |C| → C² = A² + B²
It is found that |A + B| = |A|. This necessarily implies.
B = 0
A, B are antiparallel
A, B are perpendicular
A · B ≤ 0
Two particles are projected in air with speed $v_0$ at angles $\theta_1$ and $\theta_2$ (both acute) to the horizontal, respectively. If the height reached by the first particle is greater than that of the second, then tick the right choices.
Angle of projection $q_1 > q_2$
Time of flight $T_1 > T_2$
Horizontal range $R_1 > R_2$
Total energy $U_1 > U_2$