If this is while going to prayer, this is not permissible. You can jog while going back from the masjid.

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Kindly refer to the following link https://www.assimalhakeem.net/purification-and-prayer-for-one-who-has-urinary-incontinence-i-feel-that-some-drops-of-urine-come-out-i-asked-about-prayer-and-i-was-told-to-do-wudoo-at-the-time-of-each-prayer-and-then-pray/

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If you started the prayer while imam was standing, you must complete the Fatiha. Otherwise, your Rakah would not be complete. If the imam raises his head before you go for ruku, this Rakah is void and you must add another Rakah after the imam gives Salam.

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