Problem 1
A particle is constrained to travel in a plane so that its position is described by
$\vec{r}(t) = (17ms^{-2})t^2\hat{i} + [(20ms^{-1})t - (6ms^{-1})t^3]\hat{j}$
(a) Find the displacement, average velocity, and average acceleration of the particle during
the time interval from t = 0s to t = 5s.
(b) Calculate the position, velocity, and acceleration at t = 8s
Problem 2
A projectile is fired from a cliff with a height of 200m at an angle of 37º from horizontal with an
initial velocity of 150m/s. Find the following:
(a) The distance at which the projectile hit the ground.
(b) The maximum height above the ground reached by the projectile.
(c) The magnitude and direction of the projectile velocity vector at the instant of impact to
the ground.
Problem 3
A student from the school of engineering was traveling in a small boat due north at 6ms?¹ while
the Royal Angel's cruise ship headed 45° north of east at 4ms?¹.
