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.

Solution 63P

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.