A bicyclist starts from rest and after traveling along a straight path a distance of 20 m reaches a speed of 30 km/h. Determine his acceleration if it is constant. Also, how long does it take to reach the speed of 30 km/h?
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As the acceleration of the bicyclist is constant, we can use the following equation to solve for it.
(Where v_2 is final velocity, v_1 is initial velocity, a_c is constant acceleration, s_2 is final displacement, and s_1 is initial displacement)
The following are given to us in the question:
Let us substitute these values into our equation and solve for a_c.
To figure out the time to reach a speed of 30 km/h, we will use the following equation:
(Where v_2 is final velocity, v_1 is initial velocity, a_c is constant acceleration and t is time)
Again, substituting the values gives us:
(remember we found the acceleration)
Time to reach a speed of 30 km/h = 4.8 s