The displacement of a particle is given as function of time as x = t^2 + 2t. How much displacement is covered in the first 5 seconds?

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Editor">Editor Staff asked 1 year ago

The displacement of a particle is given as function of time as x = t^2 + 2t. How much displacement is covered in the first 5 seconds?
 
(a) 5 units
 
(b) 35 units
 
(c) 40 units
 
(d) 0 units
 
I had been asked this question in an internship interview.
 
This intriguing question comes from Straight Line Motion in division Motion in a Straight Line of Physics – Class 11
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

The correct option is (b) 35 units
 
Explanation: The displacement covered in the first five seconds can be obtained by putting t = 5 in the equation. Therefore, x = 5^5 + 2(5) = 25 + 10 = 35. Hence the answer is 35 units.

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