A body of mass 5kg starts from the origin with an initial velocityu→=30i^+40j^ms−1 . If a constant forceF→=−(i^+5j^)N acts on the body, the time in which the y–component of the velocity becomes zero is :

A body of mass 5kg starts from the origin with an initial velocity $\vec{u} = 30 \hat{i} + 40 \hat{j} m s^{- 1}$ . If a constant force $\vec{F} = - (\hat{i} + 5 \hat{j}) N$ acts on the body, the time in which the y–component of the velocity becomes zero is :

A
5s
B
20s
C
40s
D
80s

Solution:

$m = 5 k g, \bar{u} = 30 i + 40 j$

$\bar{F} = - i - 5 j V_{y} = 0 t = ?$

$v_{y} = u_{y} + a_{y} t = u_{y} + \frac{F_{y}}{m} t$

$0 = 40 + \frac{(- 5)}{5} t t = 40 s$

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