Question

A car traveling at 60 km/h will skid 30 m when its brakes are locked. if the same care is traveling at 180 km/h, what will be the skidding distance? be sure to show all work to support your answer.

Answer 1

The car skidding distance would be 270 m

Step-by-step explanation:

Given that,

Speed of car = 60 km/h

Skid distance = 30 m

Another speed of car = 180 km/h

Using motion equation:

`v^2-u^2=2as`

The square of speed is proportional to the distance.

Thus.
`v^2\propto s`

The ratio of the speed of the both cars

`(V_2^2)/(V_1^2)=(S_2)/(S_1)`

`V_1=60`

`V_2=180`

`S_1=30`

`S_1=d`

Substitute the value into formula

`(180^2)/(60^2)=(d)/(30)`

`9* 30 = d`

`d=270\ m`

Hence, The car skidding distance would be 270 m

Answer 2

The first car travels at 60km/h and skid at 30m away from the starting point while another car is also traveling at 180km/h. Now, we need to solve for the skidding distance.
We assigned variables such as:
V1=60km/h
V2=180km/h
Skid1=30m
Skid2=?
We solve this by ratio and proportion method such as shown below:
V1/V2=skid1/skid2
60/180=30/skid2
skid2=(30*180)/60
skid2=90meters

Th answer is 90 meters.