A motorcycle has a constant acceleration of 3.69m/s2. Both the velocity and acceleration of the motorcycle point in the same direction. How much is required for the motorcycle to change its speed from (a) 15.5 to 25.5m/s,and (b)45.5 to 55.5m/s
To find the distance required for the motorcycle to change its speed, we can use the formula:
distance = (final velocity^2 - initial velocity^2) / (2 * acceleration)
(a) For the motorcycle to change its speed from 15.5 m/s to 25.5 m/s:
Initial velocity (u) = 15.5 m/s
Final velocity (v) = 25.5 m/s
Acceleration (a) = 3.69 m/s^2
distance = (25.5^2 - 15.5^2) / (2 * 3.69)
distance = (650.25 - 240.25) / 7.38
distance = 410 / 7.38
distance ≈ 55.6 m
Therefore, it is required for the motorcycle to travel approximately 55.6 meters to change its speed from 15.5 m/s to 25.5 m/s.
(b) For the motorcycle to change its speed from 45.5 m/s to 55.5 m/s:
Initial velocity (u) = 45.5 m/s
Final velocity (v) = 55.5 m/s
Acceleration (a) = 3.69 m/s^2
distance = (55.5^2 - 45.5^2) / (2 * 3.69)
distance = (3070.25 - 2070.25) / 7.38
distance = 1000 / 7.38
distance ≈ 135.5 m
Therefore, it is required for the motorcycle to travel approximately 135.5 meters to change its speed from 45.5 m/s to 55.5 m/s.