A ballistic pendulum is a device often used for measuring the velocity of a projectile. Assume to projectile fully embeds itself in the pendulum. If the projectile mass is 25 grams, the pendulum mass is 2. 5 kg, and the vertical displacement of the pendulum after the collision is 14 cm, find the velocity of the projectile just prior to the collision. (hint: relate kinetic energy to potential energy).