At the instant shown particle A is traveling to the right along a straight path

Question

At the instant shown particle A is traveling to the right along a straight path with an initial speed of 1m / s and has a constant acceleration of 2 m / s2. At the same time projectile B is given an initial velocity and angle shown below. Determine the initial speed of V0 of projectile B for direct impact. Also determine the time of the impact and speed of particle B just before the impact. Compare the results for time and final velocity of B. For consistency, use a radius of 0.1 m for both particles A and B for your simulation.

Explanation / Answer

Vo*t/sqrt(2)=1*t+t*t-----------------(1)

Vo*t/sqrt(2) + 0.5*g*t*t=5-2*radius=5-2*0.1=4.8....................(2)

solving them; t= 0.82 sec, Vo=2.57 m/sec

speed of partcile B just before impact = 10.02 m/sec

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