A 2-lb ball is thrown upward at 30ft/s from an origin 5-ft above the earth’s surface.

A 2-lb ball is thrown upward at 30ft/s from an origin 5-ft above the
earth’s surface. Using for your positive reference a vertical Y axis
with its origin at 5ft, DETERMINE FOR THE BALL:

The maximum height in ft reached

The elapsed time of flight in seconds until its return to the origin

Its acceleration in ft/s2 at the highest point


Its velocity vector at its return to the origin



2. The velocity of a 0.1kg particle along a horizontal X axis is given
by:

v(t)=(8t2 -20)m/s, and at t=20s, v(20)=60m. DETERMINE FOR t=8s:

The position of the particle in ft

The velocity of the particle in ft/s

The acceleration of the particle in ft/s2

3. The acceleration of an object in rectilinear x-direction
motion is given by:

a(v)=0.4-0.0002v2 ft/s. If v=0 when x=0. DETERMINE FOR THE OBJECT:

Its velocity in ft/s when x=1000ft

Its acceleration in ft/s2 at x=1000ft

Its maximum velocity in ft/s