Problem Sheet 5
1.
A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of
time are given by the following expressions:
x = (18.0 m/s) t
y = (4.0 m/s) t – (4.90 m/s
2
) t
2
a.
Write a vector expression for the ball’s position as a function of time, using the
unit vectors i and j.
b.
Obtain expression for velocity and acceleration as a function of time
c.
Using the unit vector notation, find the position, velocity and acceleration at t =
3.00 s
2.
The coordinates of an object moving in the xy plane vary with time according to the
equation
x = (5.0 m) sin(wt)
y = (4.0 m) – (5.0 m) cos(wt)
where w is constant and t is in seconds.
a.
Determine the components of velocity vector and acceleration at t = 0.
b.
Write the expressions of velocity and acceleration at any time t >0
3.
At t = 0, a particle moving in the xy plane with a constant acceleration has a velocity
of v
initial
=
(3.00i 2.00j) m/s and is at the origin. At t = 3.0s, the velocity of the particle
is v
3.0s
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 Spring '11
 Dutt
 Acceleration, Velocity, 15.0m

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