3. A grasshopper leaps into the air from the edge of a vertical cliff, as shown in the figure. Useinformation from the figure to find a) the initial speed of the grasshopper and b) the height ofthe cliff.6.74 cm50.0°Not toscale1.06 m2012 Peon Edcon n

initial velocity of the grasshopper can be written as, u→=ucosθi^+usinθj^ where u is it's initial…

Answered: 3. A grasshopper leaps into the air…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Horizontal distance Release height (m) (initial height) Time in air (s) (from release to landing) Experiment %#: traveled (m) 1 1.68 m 0.80 s 2.9 m 2 1.75 m 0.92 s 3.3 m 1.61 m 0.91 s 3.45 m 4 1.51 m 0.75 s 2.7 m
1) A cannonball is shot with an initial speed of 30.0 m/s and 25.0º angle above horizontal from a height of 12.0 m. How far can the cannonball go horizontally when it lands on the ground, in meters? Use g = 10.0 m/s2
4. A projectile is launched from 20.0 m above ground level with an initial velocity of 35.0 m/s at 60.0° with respect to the horizontal. a) What is the object's maximum displacement in the y-direction? 35 m/s
3. Is it possible for two vectors, A and B, of unequal magnitudes to have a resultant with a magnitude less than the magnitudes of either A or B? Explain your answer. You may use illustrations,
2. An airplane flying N30° W at 150 km/h encounters a wind blowing E5 N at 40 km/h. Determine the resultant ground velocity of the plane. Include a vector diagram in your solution.
1. An ant travels 2.78 cm [W] and then turns and travels 6.25 cm [S 40° E]. What is the ant's total displacement? ™T [ans: 4.94 cm [E 76° S]]
question 9
1. A cannonball is launched at a 60.0° from the ground at 100.0 m/s. Calculate the maximum height achieved, the distance it traveled horizontally, and the time it took to travel its horizontal distance.
A cannonball is shot with an initial speed of 66 m/s and 37.0º angle with respect to the ground. How long does it take for the ball to reach its the maximum height, in seconds? Use g = 10.0 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
4. The Incredible Hulk, chased by the army, leaps with speed 16_m/s at a 57° angle above the horizontal from the top of a building. If he lands 59 m from the base of the building, then find the height of the building.

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3. A grasshopper leaps into the air from the edge of a vertical cliff, as shown in the figure. Use information from the figure to find a) the initial speed of the grasshopper and b) the height of the cliff. 6.74 cm 50.0° Not to scale 1.06 m 20P facn