Question

In: Physics

Two cars approach each other. Initially they are separated by 1000 m. One car accelerates at...

Two cars approach each other. Initially they are separated by 1000 m. One car accelerates at 2 m/s^2 from rest. The other car travels at a constant speed of 20 m/s. Draw distance indicating how far from each of the cars' starting point the cars will collide.

Solutions

Expert Solution

let the two car meet after time "t"

for the car accelerating :

vo = initial velocity = 0 m/s

a = acceleration = 2 m/s2

x = displacement

t = time of travel

displacement is given as

x = vo t + (0.5) a t2

x = 0 t + (0.5) (2) t2

x = t2                                             eq-1

for the car going at constant speed :

v = constant velocity = 20 m/s

x' = displacement

t = time of travel

displacement is given as

x' = v t

x' = 20 t                                                        eq-2

given that :

x + x = 1000

t2 + 20 t = 1000

t = 23.2 sec

using equation 2

x' = 20 t

x' = 20 x 23.2

x' = 464 m


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