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Starting from the origin at time t = 0, with initial velocity 5 j^ ms−1 , a particle moves in the x−y plane with a constant acceleration of 10 i^+4 j^ m s−2. At time t, its coordinates are 20 m, y0 m. The value of t and y0 are, respectively :

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a

5 s and 25 m

b

2 s and 24 m

c

2 s and 18 m

d

4 s and 52 m

answer is C.

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Detailed Solution

S¯=t u¯+12 t2 a¯ ⇒20 i^+y0 j^=t05 j^+12 t0210 i^+4 j^Equating components wise,20=5 t02 ⇒ t0=2 sec and y0=5t0+2t02⇒y0=18 m

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Starting from the origin at time t = 0, with initial velocity 5 j^ ms−1 , a particle moves in the x−y plane with a constant acceleration of 10 i^+4 j^ m s−2. At time t, its coordinates are 20 m, y0 m. The value of t and y0 are, respectively :