# Displacement, Velocity and Distance Travelled by Natural Logarithmic Equations

A particle is moving in a straight line, starting from the origin. At time t seconds the particle has a displacement of x metres from the origin and a velocity v. The displacement is described as a logarithmic expression in terms of time t. Find an expression for v, the initial velocity, when the particle comes to rest and the distance travelled by the particle in the first three seconds.

# How to Handle the Collision of Projectiles Explained by Fully Worked Solutions

Collision of Projectile Motion is handled by setting the same vertical height and horizontal distance at a given time. Worked Examples of Collision of Projectile Motion Two Points $A$ and $B$ are $d$ metres apart. A particle is projected from $A$ towards $B$ with initial velocity $u$ m/s at angle $\alpha$ to the […]