1.0 A motorcycle has a constant acceleration of 2.08 m/s2. Both the velocity and

Question

1.0 A motorcycle has a constant acceleration of 2.08 m/s2. Both the velocity and acceleration of the motorcycle point in the same direction. How much time is required for the motorcycle to change its speed from (a)31.4 to 41.4 m/s, and (b)61.4 to 71.4 m/s?

2.0 A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 18.1 minutes at an average speed of 6.53 m/s. During the second part, she rides for 30.6 minutes at an average speed of 4.05 m/s. Finally, during the third part, she rides for 13.2 minutes at an average speed of 17.9 m/s. (a) How far has the bicyclist traveled during the entire trip? (b) What is the average speed of the bicyclist for the trip?

3.0A jogger accelerates from rest to 4.67 m/s in 3.10 s. A car accelerates from 20.1 to 30.2 m/s also in 3.10 s. (a) Find the magnitude of the acceleration of the jogger. (b) Determine the magnitude of the acceleration of the car. (c) How much further does the car travel than the jogger during the 3.10 s?

4. Interactive Solution 2.37 at offers help in modeling this problem. A car is traveling at a constant speed of 33.7 m/s on a highway. At the instant this car passes an entrance ramp, a second car enters the highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain, so that the two cars meet for the first time at the next exit, which is 2.79 km away?

Explanation / Answer

1-Solution

Since it is given from the question that motorcycle has a constant acceleration

So for constant acceleration, dt = dV/a

a) dt = (41.4 - 31.4)/2.08 = 4.81 sec

b) dt = (71.4 - 61.4)/2.08 = 4.81 sec

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