One train full of Tabby cats is going 35m/s and decelerates at 10m/s^2. Another

Question

One train full of Tabby cats is going 35m/s and decelerates at 10m/s^2. Another train full of Calico cats is going 40m/s and decelerates at 6m/s^2. The trains are 158.20 m apart when they spot each other on a head-on collision course and apply their brakes. Do they collide? (Yes or no) One train full of Tabby cats is going 35m/s and decelerates at 10m/s^2. Another train full of Calico cats is going 40m/s and decelerates at 6m/s^2. The trains are 158.20 m apart when they spot each other on a head-on collision course and apply their brakes. Do they collide? (Yes or no)

Explanation / Answer

here,

for Tabby cats train

initial speed , u = 35 m/s and a = - 10 m/s^2

let the distance travelled before stopping be s1

v^2 - u^2 = 2 * a * s1

0 - 35^2 = - 2 * 10 * s1

s1 = 61.25 m

for calico cats train

initial speed , u = 40 m/s and a = - 6 m/s^2

let the distance travelled before stopping be s2

v^2 - u^2 = 2 * a * s2

0 - 40^2 = - 2 * 6 * s2

s2 = 133.3 m

s = s1 + s2 = 194.6 m

as stopping distance , s > 158.2 m

Yes , the trains will collide

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