Answer:
The total distance covered is 46m
Explanation:
From the question, we have the following given parameters.
Initial Velocity = 40m/s
Acceleration = 12m/s²
Final Velocity = 52m/s
Required
Calculate the distance covered during the journey
The question can be solved using the following equation of motion.
v² = u² + 2as
Where
v = final velocity = 52m/s
u = initial velocity = 40m/s
a = acceleration = 12m/s²
s = distance = ?
By substituting the above values in the stated formula
v² = u² + 2as becomes
52² = 40² + 2 * 12 * s
2704 = 1600 + 24s
Subtract 1600 from both sides
2704 - 1600 = 1600 - 1600 + 24s
1104 = 24s
Divide both sides by 24
1104/24 = 24s/24
46 = s
Reorder
s = 46
Hence, the total distance covered is 46m
