Question

velocity (mph) 40 north 60 north 60 north 40 north 40 west
time (h) 0.5 1 1.5 2 2.5
a b c d e
position change in speed change in direction accelerating?
a to b
b to c
c to d
d to e
same
increased
decreased

Explanation:

Step1: Analyze A to B

Initial speed is 40 mph north, final speed is 60 mph north. Speed increased. Direction same. Since speed changed, it is accelerating.

Step2: Analyze B to C

Initial speed is 60 mph north, final speed is 60 mph north. Speed same. Direction same. No acceleration as speed and direction are unchanged.

Step3: Analyze C to D

Initial speed is 60 mph north, final speed is 40 mph north. Speed decreased. Direction same. Since speed changed, it is accelerating.

Step4: Analyze D to E

Initial speed is 40 mph north, final speed is 40 mph west. Speed same. Direction changed. Since direction changed, it is accelerating.

Answer:

POSITION	CHANGE IN SPEED	CHANGE IN DIRECTION	ACCELERATING?
B TO C	same	no	NO
C TO D	decreased	no	YES
D TO E	same	yes	YES