An athlete executing a long jump leaves the ground at a 34.3 angle and travels 7

Question

An athlete executing a long jump leaves the ground at a 34.3 angle and travels 7.75 m .

I ONLY NEED THE ANSWER TO PART B

(a) What was the takeoff speed?

answer: 9.03

(b) If this speed were increased by just 4.0%, how much longer would the jump be?

Not sure how to do this one, I posted it already and the person said the answer was 8.3893 this wasn't correct. Thanks!

agrant4Problem 3 24 c previous 2 of 8 neat Problem 3.24 Part A An athlete executing a long lump leaves the ground at a 34.3 angls and travels 7.75 m hat was the akect speet Express your answer using three signiticant tigures. 9.03 n Submit M Answer Give Up Correct Part B if this speed eie increased by lust 4.0%, how much longer would ule jump be? Express your answer using two significant figures. d- 8.3893 Submit M An-wers GeUn Incorrect: One attempt remaining; Try Again Pravide Feanbark Continue

Explanation / Answer

a) horizontal range R = u2 * sin 2 theta / g

u = sqrt [R g / sin 2theta]

= sqrt [7.75 * 9.8 / sin (2 * 34.3)]

= 9.03 m/s

b) u = [u + 4 u /100] = 104 u / 100 = (104 * 9.03) / (100) = 9.39 m/s

R = 9.392 * sin (2 * 34.3) / 9.8 = 8.38 m

distance x = 8.38 - 7.75

= 0.63 m

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