How Much Vertical Acceleration Does a Jet Need to Avoid a Hill?

[KukyZ]

Homework Statement

A jet travels at speeds of 1300 km/h at 35 m above ground level. Suddenly it meets a slope of 10% and immediately corrects its trajectory accelerating upwards (a(t) constant, in the direction of y).
How much should the acceleration be worth to avoid impact with the ground?

Relevant Equations

x=V
y=35+1/2 at^2

The answer should be 10 m/s^2 but I don't know how to solve it

 

[haruspex]

I guess you meant x=vt.
So you have the position of the jet at time t. What about the position of the ground below it?

 

[kuruman]

Homework Statement: A jet travels at speeds of 1300 km/h at 35 m above ground level. Suddenly it meets a slope of 10% and immediately corrects its trajectory accelerating upwards (a(t) constant, in the direction of y).
How much should the acceleration be worth to avoid impact with the ground?
Relevant Equations: x=V
y=35+1/2 at^2

The answer should be 10 m/s^2 but I don't know how to solve it

I suspect that the problem is asking for the smallest possible vertical acceleration that will prevent a collision with the ground. Start by drawing a diagram of the jet's trajectory. The jet must barely graze the hillside.

How do you know that the answer is 10 m/s²?