Question

37. Two cars travel in the same direction along a straight road. Figure 5.23 shows the velocity, v, of each car at time t. Car B starts 2 hours after car A and car B reaches a maximum velocity of 50 km/hr. (a) For approximately how long does each car travel? (b) Estimate car A's maximum velocity. (c) Approximately how far does each car travel? (km/hr) Car A Car B t(hr) Figure 5.23

Answer 1

a)

As given car B starts 2 hours after car A hence the tick marks on x axis (horizontal axis) are 2 hours apart

we can see that car B travels for two tick marks it means car B travels for 4 hours that is from t = 2 to t = 6

we can see that car A travels for 4 tick marks it means car A travels from 8 hours that is from t = 0 to t = 8

b)

we can see that car A's velocity is approximately twice that of car B's maximum velocity.

Car B' s maximum velocity is 50 km/hr hence car A's maximum velocity is 100 km/hr

c)

The distance traveled is given by the area of under the velocity graph

we can write,

A travles base height car

A travles 8 100 car

car A travles= 400 km

car B travles base height

car B travles 4.50

car B travles= 100 km