Question

6.A particle is executing SHM about y = 0 along y-axis. Its position at an instant is given by y = 17 m) sinits average velocity for a time interval 0 to 0.5 s is(1) 14 m's(2) 7 m/s(3)m/s(4) 28 mis​

Answer 1

Average velocity for a time interval 0 to 0.5s is 14m/s

Explanation:

at time $t_1 = 0$ , position of the particle, $y_1=0$

at time $t_2=0.5$, position of the particle, $y_2=$ $(7m) sin (\pi t)$

$y_2 = 7 \times sin(\pi \times 0.5)$

$y_2 = 7 \times 1$

$y_2 = 1$

Total Displacement=  $y_1 + y_2$ = 0 + 7 = 7m

Total time = $t_1 + t_2$ =  0.5s

Average velocity= Total Displacement/Total Time

= 7 / 0.5 = 14 m/s

Hence, average velocity for a time interval 0 to 0.5s is 14m/s