Worth 25 points on my exam
(will give brainliest btw)

A squirrel runs out in front of a car moving at +20m/s. The driver slams on the brakes and begins decreasing at -8m/s^2. Determine the fate of the squirrel if it was initially 26 meters from the car when braking began.

Respuesta :

  • Initial velocity=20m/s
  • Final velocity=0m/s(As the car stops)
  • Acceleration=-8m/s^2
  • Distance=s=26m

We need to verify the thrid equation of kinematics here

[tex]\\ \tt\longmapsto v^2-u^2=2as[/tex]

[tex]\\ \tt\longmapsto 20^2=2(-8)s[/tex]

[tex]\\ \tt\longmapsto 400=-16s[/tex]

[tex]\\ \tt\longmapsto s=|400/-16|[/tex]

[tex]\\ \tt\longmapsto s=25m[/tex]

The squirrel has a good luck ,Car gets stopped just 1m away from the squirrel .

Explanation:

According to the Question

A squirrel runs out in front of a car moving at +20m/s ( initial speed u) . The driver slams on the brakes and begins decreasing at -8m/ ( here the acceleration is acting in opposite directions of motion a )

When Squirrel was 26 metres ( Distance from the car initially )

Using Kinematic Equation

  • = + 2as

On substituting the value we obtain

➥ 0² = 20² + 2 × -8 × s

➥ 0 = 400 - 16 × s

➥ -400 = -16 × s

➥ 400/16 = s

➥ 25 = s

So, the squirrel is 25 metres from the car .