# tutorial3%2019

BSB 112, PHYSICS I
Tutorial 3
September 2019
1. A person walks 40.0&deg; north of east for 3.10 km. How far would she have to walk due north
and due east to arrive at the same location?
2. Given the displacement vectors π΄Μ = (3πΜ − 4πΜ + 6πΜ) π and π΅Μ = (2πΜ + 3πΜ − 7πΜ) π, find
the magnitudes of the following vectors and express each in terms of its rectangular
components.
a) πΆΜ = π΄Μ + π΅Μ
Μ = 2π΄Μ − π΅Μ
b) π·
3. A fish swimming in a horizontal plane has velocity π£Μπ = (4.0πΜ + 1.0πΜ) π/π  at a point in the
ocean where the position relative to a certain rock is πΜ = (10.0πΜ − 4.0πΜ) π. After the fish
swims with constant acceleration for 20.0 s, its velocity is π£Μ = (20.0πΜ − 5.0πΜ) π/π .
a) What are the components of the acceleration of the fish?
b) What is the direction of its acceleration with respect to unit vector πΜ?
c) If the fish maintains constant acceleration, where is it at t = 25.0 s and in what direction is
it moving?
4. A pool ball leaves a 0.65-meter high table with an initial horizontal velocity of 2.5 m/s.
a) Calculate the time required for the pool ball to fall to the ground.
b) Calculate the horizontal distance between the table's edge and the ball's landing location.