Final answer:
To determine how long it takes for the burrito thrown upwards to reach its highest point, we use the kinematic equation considering the initial velocity and the acceleration due to gravity. After the calculations, it takes 1.265 seconds for the burrito to reach its highest point, making the correct answer A) 1.265 seconds.
Step-by-step explanation:
The question asks how long it takes for a burrito thrown straight up into the air with an initial velocity of 12.4 m/s to reach its highest point. To find the time it takes to reach the highest point, we use the kinematic equation for uniformly accelerated motion, considering the acceleration due to gravity is -9.8 m/s2 (negative because it's in the opposite direction of the throw). The equation is:
v = u + at
Where v is the final velocity at the highest point (0 m/s), u is the initial velocity (12.4 m/s), a is the acceleration due to gravity (-9.8 m/s2), and t is the time in seconds. Solving for t, we get:
0 m/s = 12.4 m/s + (-9.8 m/s2)*t
t = 12.4 m/s / 9.8 m/s2
t = 1.265 seconds
Therefore, the correct answer is A) 1.265 seconds.