Answer: A grasshopper leaps into the air from the edge of

Chapter 3, Problem 63P

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QUESTION:

A grasshopper leaps into the air from the edge of a vertical cliff, as shown in Fig. P3.63. Use information from the figure to find (a) the initial speed of the grasshopper and (b) the height of the cliff.

ANSWER:

Step 1 of 5

(a)  the initial speed of the grasshopper

Let us consider vertical component of velocity,

where,as it reaches max height, its final velocity will be zero,

Initial velocity =v sin 50,

distance s =  6.74 cm = 0.0674 m

Acceleration , a = g =

Substituting given data in above equation,

                                

           

v = 1.5 m/s

Therefore, the initial velocity of the grasshopper is  1.5 m/s.

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