Lesson: Vector Methods with Projectiles Mathematics

In this lesson, we will learn how to solve projectile motion problems using vectors.

Lesson Plan

Students will be able to

apply the vector kinematic equations in order to solve projectile motion problems involving vectors,
solve real-world problems, including finding the greatest height a projected object reaches during its motion when the values are given in vector form.

Lesson Playlist

03:48
04:18
01:37

Lesson Worksheet

Q1:

A particle projected with a velocity m/s from a fixed point in a horizontal plane landed at a point in the same plane 360 m away. Find the value of and the projectile’s path’s greatest height . Take .

Q2:

If a particle was projected from the origin on a horizontal ground with initial velocity m/s, write its position vector at time seconds. Consider the acceleration due to gravity to be 9.8 m/s².

Q3:

A particle projected from the origin passed horizontally through a point with a position vector of m, where and are horizontal and vertical unit vectors respectively. Determine the velocity with which the particle left , considering the acceleration due to gravity to be 9.8 m/s².