D vit frac12at2 4. Substitute your second kinematic equation v f v o a t into your third kinematic equation s ½v o v f t and simplify. The equation we will use is v2 v02 2a Dx.
We know the values of initial velocity 5 ms acceleration 2 ms 2 and change in displacement 40 20 20 meters.
We need to play a rather sophisticated trick. The Horizontal Range of a Projectile is defined as the horizontal displacement of a projectile when the displacement of the projectile in the y-direction is zero. In college classes the derivations start with the fact that the acceleration is constant and use Calculus to derive the equations. Doing this means multiplying both sides by acceleration but this will allow Dt to cancel on the right side of the equation.