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A bus slams on its breaks and goes from 30 km/hr to 15km/hr in 4 seconds. What is its acceleration?

Sagot :

luana
[tex]Formula\ for\ acceleration:\\\\ a=\frac{v_2-v_1}{t}\\\\ v_1=30km\hr\\v_2=15km\hr\\t=4s\\\\ a=\frac{15-30}{4}=\frac{-15}{4}=-3,75\frac{km}{s^2}\\\\Acceleration\ is\ equal\ to\ 3,75{km}{s^2}. \\Bus\ is\ deccelerating.[/tex]

Acceleration is the rate of change of speed.

If the speed is increased then its called acceleration

If the speed is decresed then its a negative acceleration also called deceleration

the formula for calculating acceleration is

[tex] a = \frac{v-u}{t} [/tex]

where a - acceleration

v - final velocity

u - initial velocity

t - time

v - 15 km/hr should be converted to m/s

distance in 1 hour - 15 km

1 hour = 3600 s

1 km - 1000 m

in 3600 s - 15 000 m

in 1 s - 15 000 m / 3600 s = 4.17 m/s


u - 30 km/hr

in 3600 s - 30 000 m

in 1 s - 30 000 m / 3600 s = 8.33 m/s



substituting the values in the equation

[tex] a = \frac{4.17 m/s - 8.33 m/s}{4 s} = \frac{-4.16}{4} [/tex] = -1.04 m/s²

the answer is negative means its deceleration

the acceleration is -1.04 m/s²

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