Question #33935

a body travels with initial velocity of 10km/sec after 30 minutes it came to rest .then calculate the acceleration of the body

Expert's answer

Task. A body travels with initial velocity of 10km/sec after 30 minutes it came to rest. Calculate the acceleration of the body.

Solution. Assume that the body moved with constant acceleration aa. Its initial velocity is

v0 = 10 km/sec = 101000 m/s=10000 m/sv_{0}~{}=~{}10~{}km/sec~{}=~{}10*1000~{}m/s=10000~{}m/s

and it moved during

t=30 min=3060 s=1800 st=30~{}min=30*60~{}s=1800~{}s

and came to the rest, so its final velocity is

v1=0.v_{1}=0.

Therefore

a=v1v0t=01000018005.6 m/s2.a=\frac{v_{1}-v_{0}}{t}=\frac{0-10000}{1800}\approx-5.6~{}m/s^{2}.

Answer. a=5.6 m/s2a=-5.6~{}m/s^{2}.

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