Splined speed control using SpAM (Speed-based Acceleration ...
Speed, Velocity, Acceleration -...
Transcript of Speed, Velocity, Acceleration -...
Speed
What is a
SPEED?
Definition: the distance an object travels from some reference point per unit of time
How do you
calculate
SPEED?
to calculate speed, divide the distance by the time:
s = d/t
speed = distance time
other ways to write the same formula:
s = d t ) d t
s s = d ÷ t
How to calculate SPEED
Velocity & Acceleration
What is a
VELOCITY?
Definition: velocity is speed with direction velocity changes when either speed or direction changes
Velocity changes when either speed or direction changes
What is a
ACCELERATION?
Definition: the amount that velocity changes in speed or direction
How to calculate acceleration:
final velocity minus starting velocity, divided by time
Vfinal - Voriginal
timeA =
A car goes from 10 mph to 30 mph in 4 seconds. What was its acceleration?
Original velocity:
Final velocity:
Time:
10 mph30 mph
4 sec
30 mph – 10 mph
4 sec
20 mph
4 sec
5 mi/hr/sec
Vfinal - Voriginal
timeA =
A runner runs 10 m/sec, crosses the finish line, then takes 5 seconds to stop. What was her acceleration?
Original velocity:
Final velocity:
Time:
10 m/sec0 m/sec
5 sec
0 m/sec – 10 m/sec
5 sec
-10 m/sec
5 sec
-2 m/sec/sec
Vfinal - Voriginal
timeA =
An airplane flies at 472 km/hr. One hour later, it is still flying at the same speed. What is its acceleration?
Original velocity:
Final velocity:
Time:
472 km/hr472 km/hr
1 hour
472 km/hr – 472 km/hr
1 hour
0 km/hr
1 hr
0 km/hr/hr
VfinalVoriginal time
final velocity:
original velocity:
time:
5 m/sec
25 m/sec
2 sec
Vfinal- Voriginal
timeA =
25 m/sec - 5 m/sec
2 sec
20 m/sec
2 sec= = 10 m/sec/sec
10 m/sec/sec