A scooter is travelling at a speed of 36 km/h. After one second, its velocity becomes 45 km/h. Calculate the acceleration experienced by the scooter and the distance covered by it in one second.
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Answer:
s=distance; t=time; a = acceleration
a = (v2-v1)/ (t2-t1)
v1= 36 km/h
v2=45 m/s *3600/1000= 162 km/h
a = (162 km/h - 36 km/h)/1s * 1000/3600 = 35 m/s²
s = a/2 * t² + v(0) * t + s(0) ;
s = (35m/s² * 1²s²)/2 = 17,5 M
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Initial Velocity (u) = 36 km/h = 10 m/s
Final Velocity (v) 45 km/h = 12.5 m/s
Time (t) = 1 s
Acceleration (a) = ?
Distance (s) = ?
a) Using v = u + at
12.5 = 10 + a × 1
Acceleration (a) = 2.5 m/s²
b) Using s = ut + 1/2 at²
10 × 1 + 1/2 × 2.5 × (1)²
10 + 1.25
Therefore, the distance covered is = 11.25 m
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