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# Answer: A grasshopper leaps into the air from the edge of ISBN: 9780321696861 89

## Solution for problem 63P Chapter 3

Sears and Zemansky's University Physics with Modern Physics | 13th Edition

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Problem 63P

A grasshopper leaps into the air from the edge of a vertical cliff, as shown in Fig. P3.57. Find (a) the initial speed of the grasshopper and (b) the height of the cliff. Step-by-Step Solution:

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.

Step 2 of 5:

(b) the height of the cliff.

Using fundamental relation of speed,

For horizontal component,

Time of flight,                                        t= Substituting distance(horizontal)= 1.06 m and speed(horizontal component), v= v cos 50

t= Using v = 1.5 m/s

t= t = 1.099 s

Step 3 of 5:

Time taken to reach maximum height(vertical component),  Using v = 1.5 m/s   0.1175 s

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321696861

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