antiderivative application

[des4ij]

A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 26 ft/s2. What is the distance covered before the car comes to a stop?

A car braked with a constant deceleration of 40 ft/s2, producing skid marks measuring 160 ft before coming to a stop. How fast was the car traveling when the brakes were first applied?

... just how... thx for help

 

[skeeter]

first, you'll have to convert v_o = 50 mph to ft/sec to get the units matched.

your velocity function is v(t) = v_o - at

when the car is stopped, v(t) = 0

0 = v_o - at ... solve for t.

to find the distance, you'll have to integrate the velocity function from 0 to the t-value found above.

you should get a distance of approx 103 ft.

 

[des4ij]

thx...

thx helpful.. got it...