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Question

A basketball is launched with an initial speed of 8.5 m/s and follows the trajectory shown. The ball enters the basket 0.87 sec after it is launched. What are the distances x and y?


  1. 4.13 m & 1.97 m

  2. 5.23 m & 0.97 m

  3. 3.33 m & 2.97 m

  4. 2.43 m & 3.97 m                


Solution

The correct option is B

5.23 m & 0.97 m


U0=8.5 m/s

Applying, x=x0+u0t+12at2

x=0+8.5 m/s cos 45×0.87 sec+0

x=5.23 m

y=0+8.5 m/s sin 45×0.87 sec+12(9.8) m/s2×0.87 sec

y=0.97 m

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