Kinematics

Mixed Acceleration Problems
Physics 11
1. An object accelerates uniformly from rest to a
velocity of 12.0 m/s west in 3.40 s. Calculate the
acceleration of the object
.
(3.52 m/s
2
[W])
2. An object accelerates uniformly from rest. If
the final velocity of the object after 4.7 s is 15
m/s east, what is the displacement?
(35 m [E])
3. An object accelerates uniformly from rest at a
rate of 1.9 m/s
2
[right] for 5.0 seconds. Find (a)
the
displacement, (b) the final velocity, (c) the
distance travelled and (d) the final speed.
(24 m
[right], 9.5 m/s [right], 24 m, 9.5 m/s)
4. An object initially travelling at a velocity of 2.0
m/s [West], accelerates uniformly at a rate of 1.3
m/s
2
[West].
During this time of acceleration, the
displacement of the object is 15 m. Find (a) the
final velocity and (b) the final speed.
(6.6 m/s [W],
6.6 m/s)
5. An object accelerates uniformly from a
velocity of 5.0 m/s [N] at a rate of 3.0 m/s
2
[N].
What is
the velocity of the object at 2.9 s?
(14 m/s
[N])
6. An object accelerates uniformly fr
om rest. If it
travels 26.0 m
[S], and reaches a velocity of 11.0
m/s [S], how long was the object accelerating?
(4.73 seconds)
7. An object accelerates uniformly
from rest and
reaches a velocity of 122 km/h [N] in 10.5 s.
What was the average velocity of the object?
(16.9
m/s [N])
8. An object accelerates uniformly at a rate of 1.50
m/s
2
[E] for 10.0 s. If the velocity of the object
reaches 25.0 m/s [E] at this
time, what was the
initial velocity?
(10.0 m/s [E])
9. A ball, starting from rest, accelerates uniformly
down an incline at a rate of 1.4 m/s
2
. Find (a) the
distance travelled by the ball in 5.0 s and (b) the
velocity of the ball at 5.0 s.
(18 m, 7.0 m
/s [down the
ramp])
10. An object was displaced 19.6 m [E] while
uniformly accelerating from rest. If the average
velocity of the object was 5.00 m/s [E], what was
the rate of acceleration?
(2.55 m/s
2
[E])
11. An object
uniformly accelerates at a rate of
1.00 m/s
2
[E]. While accelerating at this rate, the
object is displaced 417.2 m [E] in a time of 27.0 s.
What velocity did this object reach in this time?
(29.0 m/s [E])
12. A bungee jumper
moving down at 5
.00
m/s
en
ds up moving upwards at 8
.00
m/s 2.0
0
seconds
later. Find the acceleration (with direction).
(6.5 m/s
2
[Up])
13.
A child slides down a playground slide,
accelerating from rest and travelling 6.0
0
m in 4.50
seconds. (a) Find how fast they are going at the
bottom of the slide. (b) If they come to a rest by
bending their knees 20.
0
cm, find the stopping
acceleration.
(
2.67 m/s, 17.8
m/s
2
[Up])
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