2.  The quantity that describes the rate of
change of velocity in a given timeinterval is
called acceleration.
 The magnitude of the average acceleration is
calculated by dividing the total change in an
object’s velocity by the time interval in which
the change occurs.

4. A shuttle bus slows down with an
average acceleration of -1.8 m/s2.
How long does it take the bus to
slow from 9.0 m/s to a complete
stop?

5. As the shuttle bus comes to a
sudden stop to avoid hitting a dog, it
accelerates uniformly at −4.1 m/s2
as it slows from 9.0 m/s to 0.0 m/s.
Find the time interval of acceleration
for the bus.

6. A car traveling at 7.0 m/s
accelerates uniformly at 2.5 m/s2 to
reach a speed of 12.0 m/s. How long
does it take for this acceleration to
occur?

7. With an average acceleration of −1.2
m/s2, how long will it take a cyclist
to bring a bicycle with an initial
speed of 6.5 m/s to a complete
stop?

8. Turner’s treadmill runs with a
velocity of −1.2 m/s and speeds up
at regular intervals during a half-
hour workout. After 25 min, the
treadmill has a velocity of −6.5 m/s.
What is the average acceleration of
the treadmill during this period?

9. Suppose a treadmill has an average
acceleration of 4.7x10−3 m/s2.
a) How much does its speed change
after 5.0 min?
b) If the treadmill’s initial speed is
1.7 m/s, what will its final speed be?

11. When the velocity in the positive direction is
increasing, the acceleration is positive, as at
point A. When the velocity is constant, there is no
acceleration, as at point B. When the velocity in
the positive direction is decreasing, the
acceleration is negative, as at point C.

12. The velocity increases by exactly the same
amount during each time interval.
Thus, the acceleration is constant. Because
the velocity increases for each time
interval, the successive change in
displacement for each time interval
increases.

14. *We know that the average velocity is equal to
displacement divided by the time interval.
*For an object moving with constant
acceleration, the average velocity is equal to the
average of the initial velocity and the final
velocity.

15. We can set the expressions for average velocity
equal to each other.
Therefore;
This is formula of displacement with
constant acceleration.

16. A racing car reaches a speed of 42
m/s. It then begins a uniform
negative acceleration, using its
parachute and braking system, and
comes to rest 5.5 s later. Find the
distance that the car travels during
braking.

17. A car accelerates uniformly from rest
to a speed of 6.6 m/s in 6.5 s. Find
the distance the car travels during
this time.

18. When Maggie applies the brakes of
her car, the car slows uniformly from
15.0 m/s to 0.0 m/s in 2.50 s. How
many meters before a stop sign
must she apply her brakes in order
to stop at the sign?

19. A driver in a car traveling at a speed
of 21.8 m/s sees a cat 101 m away
on the road. How long will it take for
the car to accelerate uniformly to a
stop in exactly 99 m?

20. A car enters the freeway with a
speed of 6.4 m/s and accelerates
uniformly for 3.2 km in 3.5 min.
How fast (in m/s) is the car moving
after this time?

21. By rearranging the equation for acceleration,
we can find a value for the final velocity.
Cross multiply change in t;

22. Transpose initial velocity;
This is formula of final velocity with
constant acceleration after t time.

23. If you want to know the displacement of an
object moving with constant acceleration over
some certain time interval, you can obtain
another useful expression for displacement by
substituting the expression for vf into the
expression for Δx.

24. This is formula of displacement without vf.

25. A plane starting at rest at one end of
a runway undergoes a uniform
acceleration of 4.8 m/s2 for 15 s
before takeoff. What is its speed at
takeoff? How long must the runway
be for the plane to be able to take
off?

26. A car with an initial speed of 6.5 m/s
accelerates at a uniform rate of 0.92
m/s2 for 3.6 s. Find the final speed
and the displacement of the car
during this time.

27. An automobile with an initial speed
of 4.30 m/s accelerates uniformly at
the rate of 3.00 m/s2. Find the final
speed and the displacement after
5.00 s.

28. A car starts from rest and travels for
5.0 s with a constant acceleration of
−1.5 m/s2. What is the final velocity
of the car? How far does the car
travel in this time interval?

29. A driver of a car traveling at 15.0
m/s applies the brakes, causing a
uniform acceleration of −2.0 m/s2.
How long does it take the car to
accelerate to a final speed of 10.0
m/s? How far has the car moved
during the braking period?

30. What will the final velocity be with constant
acceleration after x displacement?
This is formula of vf after displacement of
x with constant velocity.

31. A person pushing a stroller starts
from rest, uniformly accelerating at a
rate of 0.5 m/s2. What is the velocity
of the stroller after it has traveled
4.75 m?

32. A car traveling initially at +7.0 m/s
accelerates uniformly at the rate of
+0.80 m/s2 for a distance of 245 m.
a) What is its velocity at the end of
the acceleration?
b) What is its velocity after it
accelerates for 125 m?
c) What is its velocity after it
accelerates for 67 m?

33. A car accelerates uniformly in a
straight line from rest at the rate of
2.3 m/s2.
a) What is the speed of the car after
it has traveled 55 m?
b) How long does it take the car to
travel 55 m?

34. A motorboat accelerates uniformly
from a velocity of 6.5 m/s to the
west to a velocity of 1.5 m/s to the
west. If its acceleration was 2.7 m/s2
to the east, how far did it travel
during the acceleration?

35. An aircraft has a liftoff speed of 33
m/s. What minimum constant
acceleration does this require if the
aircraft is to be airborne after a
take-off run of 240 m?

36. A certain car is capable of
accelerating at a uniform rate of
0.85 m/s2. What is the magnitude of
the car’s displacement as it
accelerates uniformly from a speed
of 83 km/h to one of 94 km/h?