School Of Engineering and Technology

CIE Dynamics

Assignment $1$

Due Date: $3^{rd}$ April

A ball is thrown so that the motion is defined by the equations $x=5t$ and $y=2+6t-4\mathrm{.}9t^2,$ where $x$ and $y$ are expressed in meters and $t$ is expressed in seconds. Determine $($a$)$ the velocity at $t=1s,($b$)$ the horizontal distance the ball travels before hitting the ground.

$2.$ A homeowner uses a snowblower to clear his driveway. Knowing that the snow is discharged at an average angle of $40$ with the horizontal, determine the initial velocity $V_0$ of the snow.

The motion of a particle is defined by the equations $x=10t-5sint$ and $y=10-5cost,$ where $x$ and $y$ are expressed in feet and $t$ is expressed in seconds. Sketch the path of the particle for the time interval $0t2,$ and determine $($a$)$ the magnitudes of the smallest and largest velocities reached by the particle, $(b)$ the corresponding times, positions, and directions of the velocities.