Question

A bobsled, moving at 32 m/s, decelerates to 22 m/s at a rate of 4.8 m/s2. Determine the distance traveled by the bobsled during this time.

Answer 1

56.25 m

Step-by-step explanation:

Cinematics describes the variables involved in movement without dealing with its causes. There are four main concepts in cinematics: Velocity (or its scalar equivalent, the speed), acceleration, time and displacement (or its scalar equivalent, distance).

We know the bobsled starts at 32m/s and ends at 22m/s with acceleration
`-4.8m/sec^2`. The acceleration is negative because the bobsled is breaking of losing speed

The formula relating these three variables is

`v_f^2=v_o^2+2ax`

Solving for x

`x=(v_f^2-v_o^2)/(2a)`

`x=-(22^2-32^2)/(2(-4.8))`

`x=(540)/(9.6)`

`x=56.25\ m`