Course Home Homework-2 Problem 3.22 Use the information given to find the initia

Question

Course Home Homework-2 Problem 3.22 Use the information given to find the initial speed of the grasshopper. Express your answer in meters per second to three significant fig Constants A grasshopper leaps into the air from the edge of a vertical cliff, as shown in the figure below (Figure 1.57 m/s 1) Assume that di 6.95cm, dz-1.09m, and that ::: 48" Previous Answers Figure All attempts used; correct answer displayed Part B Use the information given to find the height of the cliff. Express your answer in meters to three significant figures Not to scale d2

Explanation / Answer

here,

d1 = 6.95 cm = 0.0695 m

theta = 48 degree

let the initial speed of the ball be u

d1 = ( u * sin(theta))^2 /2g

0.0695 = ( u * sin(48))^2 /( 2 * 9.81)

solving for u

u = 1.57 m/s

b)

the time of flight , t = d2 /( u * cos(theta))

t = 1.09 /( 1.57 * cos(48)) s

t = 1.04 s

the height of cliff , h0 = - u * sin(theta) * t + 0.5 * g * t^2

h0 = - 1.57 * sin(48) * 1.04 + 0.5 * 9.81 * 1.04^2 m

h0 = 4.1 m

the height of cliff is 4.1 m

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