Question

Which of the following statements explains how total time spent in the air is affected as a projectile's angle of launch is increased from 25 degrees to 50 degrees?​

Answer 1

Therefore letter C is the correct answer.

Step-by-step explanation:

In a projectile motion the total time in the air can be calculated using the following equation:

We analyze the y-component motion.

`v_(fy)=v_(iy)-gt`

When the final velocity (v(f)) is equal to zero we calculate the upward time and multiplying it by 2 we find the total time in the air. So we will have:

`t_(tot)=2(v_(iy))/(g)`

`t_(tot)=2(v_(i)sin(\theta))/(g)`

We can see that the total time is directly proportional to the angle, then when θ increase t increase.

Therefore letter C is the correct answer.

I hope it helps you!