Question

Can i get help on part B please ?!?

rarL A Use the information given to find the initial speed of the grasshopper Express your answer in meters per second to three significant figures. Constants A grasshopper leaps into the air from the edge of a vertical cliff, as shown in the figure below (Figure 1). Assume that di 6.57cm, d2 1.06m, and that θ 53。 1.42 m/s Previous Answers Figure di Correct Part B Not to scale Use the information given to find the height of the cliff. Express your answer in meters to three significant figures. 0四 d2

Answer 1

here,

d1 = 6.57 cm = 0.0657 m

d2 = 1.06 m

theta = 53 degree

initial speed , u = 1.42 m/s

for horizontal direction

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

t = 1.06 /( 1.42 * cos(53))

t = 1.24 s

let the height of cliff be h

for vertical direction

- (h + d1 ) = u * sin(theta) * t - 0.5 * g * t^2

- ( h + 0.0657) = 1.42 * sin(53) * 1.24 - 0.5 * 9.81 * 1.24^2

solving for h

h = 6.07 m

the height of cliff is 6.07 m