A speedboat increases its speed uniformly from v i = 20.0 m/s to V f = 30.0 m/s in a distance of 2.00 × 10 2 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors, (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boat’s acceleration in terms of v f , v i , and Δ x . (d) Substitute given values, obtaining that acceleration, (e) Find the time it takes the boat to travel the given distance.
A speedboat increases its speed uniformly from v i = 20.0 m/s to V f = 30.0 m/s in a distance of 2.00 × 10 2 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors, (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boat’s acceleration in terms of v f , v i , and Δ x . (d) Substitute given values, obtaining that acceleration, (e) Find the time it takes the boat to travel the given distance.
Solution Summary: The author explains the sketch of the boat's motion and the appropriate equation to calculate the acceleration.
A speedboat increases its speed uniformly from vi = 20.0 m/s to Vf = 30.0 m/s in a distance of 2.00 × 102 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors, (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boat’s acceleration in terms of vf, vi, and Δx. (d) Substitute given values, obtaining that acceleration, (e) Find the time it takes the boat to travel the given distance.
3.63 • Leaping the River II. A physics professor did daredevil
stunts in his spare time. His last stunt was an attempt to jump across
a river on a motorcycle (Fig. P3.63). The takeoff ramp was inclined at
53.0°, the river was 40.0 m wide, and the far bank was 15.0 m lower
than the top of the ramp. The river itself was 100 m below the ramp.
Ignore air resistance. (a) What should his speed have been at the top of
the ramp to have just made it to the edge of the far bank? (b) If his speed
was only half the value found in part (a), where did he land?
Figure P3.63
53.0°
100 m
40.0 m→
15.0 m
Please solve and answer the question correctly please. Thank you!!
You throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you on its way down, 5.00 s after it was thrown. What is the speed of the rock just before it reaches the water 25.0 m below the point where the rock left your hand? Ignore air resistance.
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