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The displacements along x-axis and y-axi...

The displacements along x-axis and y-axis are represented by`x = 4t + 4t^(2)` and y = 5t. The velocity of particle at t = 1 s is equal to

A

4 units

B

5 units

C

13 units

D

9 units

Text Solution

Verified by Experts

The correct Answer is:
C
`V_(x) = (d x)/(d t) = 4 + 8t, V_(y) = (d y)/(d t) = 5`
`V_(x) ("at t = 1") = 4 + 8 = 12`
`V_(y)` (at t = 1) = 5
`therefore` Resultant velocity `= sqrt(12^(2) + 5^(2))`
= 13 units
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