In a 350-m race, runner A starts from rest and accelerates at 1.6 m/s^2 for the first 30 m and then runs at constant speed. Runner B starts from rest and accelerates at 2.0 m/s^2 for the first 30 m and then runs at constant speed. Runner A befins running as soon as the race begins but B first takes a nap to rest up. What is the longest nap that B can take and still not lose the race?

B can take 0.64 sec for the longest nap .

Explanation:

Given that,

Total distance = 350 m

Acceleration of A = 1.6 m/s²

Distance = 30 m

Acceleration of B = 2.0 m/s²

We need to calculate the time for A

Using equation of motion

Put the value in the equation

We need to calculate the time for B

Using equation of motion

Put the value in the equation

We need to calculate the time for longest nap

Using formula for difference of time

Hence, B can take 0.64 sec for the longest nap .

multiply 2kg by latent heat of vap

im srry but ur wrong the answer is d a smooth rock, some red dirt, and an empty bird's nest.