Question

How far will a swan travel before becoming airborne if it must reach a velocity of 6.00 m/s, accelerating from rest at an average rate of 0.350 m/s²?

a) 2.04 m
b) 4.08 m
c) 6.12 m
d) 8.16 m

Answer 1

To calculate the distance a swan must travel to become airborne, we use the kinematic equation, The swan will travel approximately 4.08 meters before becoming airborne. Option b) 4.08 m is the correct answer.

Step-by-step explanation:

To find how far the swan will travel before becoming airborne, we can use the kinematic equation:

d = v0t + 0.5at2

Where:

• d is the distance traveled
• v0 is the initial velocity (0 m/s since the swan starts from rest)
• a is the acceleration (0.350 m/s²)
• t is the time taken

Using this formula, we can solve for d:

d = 0 + 0.5(0.350)(t2)

Given that the swan must reach a velocity of 6.00 m/s, we can find the time taken (t):

v = v0 + at

6.00 = 0 + (0.350)t

t = 6.00 / 0.350 = 17.14 seconds

Substituting the value of t into the equation for d:

d = 0 + 0.5(0.350)(17.142)

d ≈ 4.08 meters