Question

In order to stop the evil Magneto, Jean Grey needs to fly from rest on the ground to the top of the Statue of Liberty (46 m) in 2.0 seconds. What is her minimum average acceleration during her ascent?

a) 11.5 m/s²
b) 5.75 m/s²
c) 23.0 m/s²
d) 2.88 m/s²

Answer 1

Jean Grey must accelerate at a minimum average rate of 23.0 m/s^2 to reach the top of the Statue of Liberty in 2 seconds.

Step-by-step explanation:

To find the minimum average acceleration required for Jean Grey to reach the top of the Statue of Liberty in 2 seconds, we can use the kinematic equation for uniformly accelerated motion:

s = ut + 1/2at^2

Since Jean starts from rest, her initial velocity (u) is 0. Solving for acceleration (a), we have:

s = 1/2at^2

Substituting the given values:

46 m = 1/2 * a * (2.0 s)^2

46 m = 1/2 * a * 4.0 s^2

To isolate a, multiply both sides of the equation by 2 and divide by 4:

92 m = a * 4.0 s^2

a = 92 m / 4.0 s^2

a = 23.0 m/s^2

So, Jean Grey's minimum average acceleration during her ascent should be 23.0 m/s^2.