A target starts at (120,0) m and moves with velocity 10ĵ m/s. An interceptor starts from origin with constant speed 26 m/s along a fixed straight direction chosen to intercept. Interception time is:
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A target starts at (120,0) m and moves with velocity 10ĵ m/s. An interceptor starts from origin with constant speed 26 m/s along a fixed straight direction chosen to intercept. Interception time is:

G1 Physics · Accepted Answer

At interception the target is at (120,10t). Interceptor displacement magnitude is 26t, so (26t)²=120²+(10t)² ⇒ 576t²=14400 ⇒ t=5 s.