How to solve

INSTRUCTIONS:

TIME: $3$ HOURS

There are FIVE $(5)$ questions in this section. Answer ALL questions in the Answer Booklet.

$1.$

$($TOTAL: $100$ MARKS

a$.$ Starting from rest, a particle moving in a straight line has an acceleration of a $-(2t-6)\frac{m}{s}/$ where $t$ is in second. Determine the particle's velocity and its position when $t=6s$ and $11$ respectively.

$(6$ mark

$($CLO$1$: PLO$1$: C

b$.$ The motion of a projectile is given by the relationship $S=9r^3-12t^2+8t+25$ where S expressed in m and t in seconds. Determine the position, velocity and acceleration when $t=$ Also find the net displacement of the particle during the interval from $t=1s$ to $t=6s.$

$(10$ mal

$($CLO$1$: PLO$1$:

$2.$

a$.$ The man pushes on the $30$ kg crate with a force F $.$ The force is always directed down at from the horizontal as shown in Figure Q$2($a$)$ and its magnitude is increased until the begins to slide. Calculate the crate's initial acceleration if the coefficient of static friction $=0\mathrm{.}6$ and the coefficient of kinetic friction is $k=0\mathrm{.}3.$

CIVE$1105/$JUNE$2024$