When the dried up seed pod of a scotch broom plant burstsopen, it shoots out a s

Question

When the dried up seed pod of a scotch broom plant burstsopen, it shoots out a seed with an intial velocity of 2.6 m/s at anangle of 60.0 degrees above the horizontal.             (a)If the seed pod is 1.0 m above the ground, how long does it takefor the seed to land? (Neglect airresistance)               Seconds.                (b)What horizontal distance does it cover during itsflight?           meters When the dried up seed pod of a scotch broom plant burstsopen, it shoots out a seed with an intial velocity of 2.6 m/s at anangle of 60.0 degrees above the horizontal.             (a)If the seed pod is 1.0 m above the ground, how long does it takefor the seed to land? (Neglect airresistance)               Seconds.                (b)What horizontal distance does it cover during itsflight?           meters

Explanation / Answer

Taking the vertical motion , And upward direction as positive , Initial velocity = v sin = 2.6*sin 600 =2.25 m/s Displacement = - 1.0 m Acceleration = -9.8 m/s2 Using the equation , S= ut +at2/2 -1 = 2.25t -9.8t2/2 4.9t2 -2.25t-1 = 0 t =0.736 sec As there is no horizontal force , So horizontal distance = speed *time = v cos * 0.736 =1.3*0.736 = 0.96 m

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