The lake is the reference point at zero. Your house is 2 kilometers west of the lake. Suppose you started at your house and rode your bike to the lake. From there, you went to a friend's house which is 8 kilometers east of the lake. The trip took 2 hours. Calculate your average velocity.

Average velocity = 5 km/h

Explanation:

Given:

Distance from house to lake = 2 km

Distance from lake to friend's house = 8 km

Total time taken = 2 hours

Find:

Average velocity

Computation:

Total distance = Distance from house to lake + Distance from lake to friend's house

Total distance = 2 km + 8 km

Total distance = 10 km

Average velocity = Total distance / Total time taken

Average velocity = 10 / 2

Average velocity = 5 km/h

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s