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.