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A 5kg body moving with velocity (8i - 5j + 10k) m/s accelerates at (2i + 4j - k) m/s² for 2s. Determine its final velocity

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Answer:

The final velocity of the body is 12i + 3j + 8k m/s.

Step-by-step explanation:

To determine the final velocity of the body, we can use the equation:

v_final = v_initial + a * t

where

v_initial is the initial velocity,

a is the acceleration,

t is the time.

Given:

v_initial = 8i - 5j + 10k m/s

a = 2i + 4j - k m/s²

t = 2s

Calculating the final velocity:

v_final = (8i - 5j + 10k) + (2i + 4j - k) * 2

v_final = 8i - 5j + 10k + (4i + 8j - 2k)

v_final = 8i + 4i - 5j + 8j + 10k - 2k

v_final = 12i + 3j + 8k

Therefore, the final velocity of the body is 12i + 3j + 8k m/s.

User Arjun Ajith
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