Verified Solution • 2025–26 Session moderate

QAIPMT-2010-Ph-2088: NEET 2010 Physics - Class 11 AIPMT-2010-Ph-2088 Solution: A particle has initial velocity \((3 {i}+4 {j})\) and has…

A particle has initial velocity (3i^+4j^)(3\hat{i}+4\hat{j}) and has acceleration (0.4i^+0.3j^)(0.4\hat{i}+0.3\hat{j}). Its speed after 10 s is 7 units 727\sqrt{2} units 8.5 units 10 units

Multiple Choice Options

  • A (velocity) 3/2
  • B (distance) 2
  • C (distance) −- _ 2
  • D (velocity) 2/3

Step-by-Step Verified Solution

x = 1 t + 5 _ v = d x d t = _ 1 ( t + 5 ) 2 .......(i) _ a = d v d t = 2 ( t + 5 ) 3 = 2x 3 .......(ii) _ a _ (distance) 3 From equation (i), we get v 3 / 2 = _ 1 ( t + 5 ) 3 Putting this in equation (ii), we get a = -2 v 3 / 2 _ a _ (velocity) 3/2

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