Getting used to vectors with this problem.

Three vectors have the same length (L) and form an equilateral triangle. Find the magnitude and direction of the vectors: (a)A+B (b)A-B (c)A+B+C (d)A+B-C. Please see attachment below for figure.

Simple problem to become familiar with vectors. Attachments in PDF format.

Two vectors A and B have the same length A and are at right angles. What is the length of the vector A + 2B?

A 3 dimension vector problem with displacement. Attachments in PDF format.

A cosmic ray plows into Earth's upper atmosphere, liberating a shower of subatomic particles. One of these particles moves downward 3.2 km, then undergoes a collision after which it moves 1.6 km at 27 deg. northward of the vertical. It then undergoes another collision that sends it moving horizontally eastward for 2.1 km before it annihilates with another particle. What is the magnitude of its displacement ?

Velocity problem involving orbits, displacement and circumference. Attachments in PDF format.

Taking Earth's orbit to be a circle of radius , determine the speed of Earth's orbital motion in meters per second.

Using differentiation to describe the motion of an object launched upwards. Attachments in PDF format.

Questions are taken from the course book 'Physics with modern physics', Richard Wolfson & J. M. Pasachoff. A model rocket is launched straight upward; its altitude as a function of time is given by y = bt-ct^2, where b=68 m/s, c=4.9 m/s, t is the time in seconds, and y is in meters. (a) Use differentiation to find a general expression for the rocket's velocity as a function of time. (b) When is the rockets velocity zero?