How would the time of the jump and the horizontal distance traveled change if g

Question

How would the time of the jump and the horizontal distance traveled change if g were changed, for example if the jump could be repeated with the same initial velocity on a different planet? Select all that apply.) The displacement increases with increased time of the jump. The time of the jump increases when g is smaller. The displacement decreases with increased time of the jump. The time of the jump decreases when g is smaller. Increasing the time of the jump has no effect on the displacement. PRACTICE IT Use the worked example above to help you solve this problem. A long jumper as shown in the figure leaves the ground at an angle of 17.0o to the horizontal and at a speed of 9.0 m/s. How long does it take for her to reach maximum height? What is the maximum height? How far does she jump? (Assume that her motion is equivalent to that of a particle disregarding the motion of her arms and legs.)

Explanation / Answer

here the option 2 is correct because the time is inversely propertional to gravitation

so the g value is smaller the time is increases

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p=2

step;2

Given that

speed u=9 m/s

angle =17 degree

now we find the time of flight

the time of flight T=2usin(theta)/g=2*9*sin(17)/9.8=0.54 sec

now we find the maximum height

the maximum height =u^2 sin^2(theta)/2g=9^2*sin^2(17)/2*9.58=0.35 m

now we find the range

range r=U^2 sin(2 theta)/g=9^2*sin(2*17)/9.8=4.621 m

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