MARITIME ACADEMY OF NIGERIA
ASSIGNMENT 3 / TEST 3
COURSE: ADVANCED ALGEBRA
CODE: MTH 311
CLASS : HND 1 (ME)
1. Clearly distinguish between scalars and vectors quantities. Hence, classify or
state which of the following are scalars and which are vectors. (i) Weight (ii)
Calorie (iii) Specific heat (iv) Momentum (v) Density (vi) Energy (vii) Volume
(viii) distance (ix) speed (x) magnetic field intensity.
2. A particle moves along a curve whose parametric equations are
x  e3t y  3cos 2t , z  3sin 2t , where t is the time.
(i) Determine its velocity and acceleration at any time
(ii) Find the magnitudes of the velocity and acceleration when t  0.
3. If a steady electromotive force E volts is applied to a circuit of resistance R
ohms containing an inductance of L henries, the current i amperes after t seconds
is given by
i
R
 t 
E
L
1

e


R

Find i in amperes when E  60volts , R  5ohms , t  1.5sec onds and L  50henries