Final answer:
The height a flea will reach when jumping straight up with a takeoff speed of 1.1 m/s can be determined using kinematic equations, accounting for the initial kinetic energy being converted into potential energy at the peak under the influence of gravity.
Step-by-step explanation:
When a flea jumps straight up with a takeoff speed of 1.1 m/s, we can determine how high it will go by using the kinematic equation for vertical motion under constant acceleration (gravity). Since the flea is jumping upward against gravity, its initial kinetic energy is converted into potential energy at the peak of its jump, where its velocity will be zero (assuming no air resistance).
We can use the equation v^2 = u^2 + 2as, where v is the final velocity (0 m/s at the highest point), u is the initial velocity (1.1 m/s), a is the acceleration (which will be the acceleration due to gravity, g = -9.8 m/s^2, since it is acting downwards), and s is the displacement (the maximum height).
Applying the values, we have 0 = (1.1 m/s)^2 + 2(-9.8 m/s^2)s. Solving for s gives us s = (1.1 m/s)^2 / (2 * 9.8 m/s^2), which yields the maximum height reached by the flea during its jump.