a car is moving with a velocityof 36 km/h ce to rest in 10 minutes its acceleration is:
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Initial velocity u of the body = 36 km/h =( 36 ×1000/3600)= 10 m/s
Final velocity v of the body = 0 m/s
Time in which the body is brought to rest = 10 s
Using the relation: v -u = a t, we have,
0 m/s - 10 m/s = a × 10 s; or a = (-10 m/s)/10s = - 1 m/s²
So the (negative) acceleration a on the body = - 1 m/s²
Distance travelled by the body before coming to rest can be obtained using one of the two relations:
v² - u² = 2 a s. Here v= 0 m/s, u = 10 m/s and a = -1 s². Substituting these values we have,
0² - 10² = 2 × (-1 ) × s; ==> s = 100/2 = 50 m
2. s = u t + ½ a t². Substituting we have s = 10 m/s× 10s + ½ (-1 m/s² ) × 10² s² = 100 m - 50 m = 50m
Both relation give the same result as it should.
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