A boat travels at 15 m/s in a direction 45° east of north for an hour. The boat then turns and travels at 18 m/s in a direction
5° north of east for an hour. What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number. m/s What is the direction of the boat’s resultant velocity? Round your answer to the nearest whole degree. ° north of east
2 answers:
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Answer:
0.53 m
Explanation:
First of all, we have to consider the vertical motion of the ball, in order to find the time it takes for the marble to reach the ground. The initial height is , the initial vertical velocity is zero, while the acceleration is
, so the vertical position at time t is given by
By demanding y(t)=0, we find the time t at which the ball reaches the ground:
Now we can find the horizontal range of the marble: we know the initial horizontal speed (v=1.24 m/s), we know the total time of the motion (t=0.43 s), and since the horizontal speed is constant, the total distance traveled on the horizontal direction is