Question

$\theta$

A particle is moving on given curve path. At certain instant its velocity and acceleration shown in figure

21. Rate of change of speed of particle at P is

• A. $5\sqrt{3}$ m/s²
• B. 10 m/s²
• C. 5 m/s²
• D. None of these

Answer 1

Answer: (A)

A) $5\sqrt{3}$ m/s²

Answer 2

The rate of change of speed is defined as the tangential acceleration ($a_t$).

Using the given values: $a_t = a \cos \theta$ $a_t = 10 \cos 30^\circ$ $a_t = 10 \times \frac{\sqrt{3}}{2}$ $a_t = 5\sqrt{3}$ m/s²