A sports car is advertised to be able to stop in a distance of 45 m from a speed of 87 km/hr. what is its acceleration? (a) What is its acceleration in m/s^2? (b) How many g's is this (g = 9.80 m/s^2)?

Respuesta :

Answer:

a) -6.48 m/s²

b) a = 0.661g

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

[tex]v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{0^2-\left(\frac{87}{3.6}\right)^2}{2\times 45}\\\Rightarrow a=-6.48\ m/s^2[/tex]

Acceleration of the car is -6.48 m/s²

g = 9.81 m/s²

[tex]\frac{a}{g}=\frac{6.48}{9.81}\\\Rightarrow \frac{a}{g}=0.661\\\Rightarrow a=0.661g[/tex]

a = 0.661g

Answer:[tex]6.49 m/s^2[/tex]

Explanation:

Given

distance =45 m

initial velocity(u)[tex]=87 km/hr\approx 24.1667 m/s[/tex]

Final velocity(v)=0

[tex]v^2-u^2=2as[/tex]

[tex]0-(24.1667)^2=2\times a\times 45[/tex]

[tex]a=\frac{584.029}{2\times 45}[/tex]

[tex]a=-6.49 m/s^2[/tex]

acceleration in terms of g

[tex]\frac{a}{g}=0.662[/tex]

acceleration=0.662g