please help me with these problems??? thanks yous?

Question

1. a ball is thrown into the air with an initial velocity of 35m/s. what is the maximum height the ball reached?

2. a plane experiences a constant acceleration. if the plane starts from rest and needs to reach a velocity of 50m/s to take off and the runway is only 500 meters long what is the acceleration needed for the plane to take off?

use the following equations:
-V=intial V+at
-X=initial X+initial V(t)+1/2at^2
-V^2=initial V^2+2a(X-initial X)

Answer 1

The acceleration due to gravity is 9.8 m/sec^2

The ball reaches its maximum height when its vertical velocity is 0.

So you can use the first equation to compute the time it takes to reach the maximum height.

Then you can use the second equation to compute the height at that time.

For the airplane problem, use the first equation to get the value of at, and the second equation to get the value of at^2. Then you can use the two answers to compute both a and t.