Passenger Emily Alner has described the Airbus A330-300 's emergency landing as a "very sharp stop".
She says the pilot appeared "panicked" when the evacuation order was given and says the injuries she sustained (see pictures) were because the evacuation slide was nearly vertical to the ground.
See the video on the ITV National site.
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In a wide-ranging Peston on Sunday interview, he said Parliament security needs reviewing and the PM's counter-terror strategy is flawed.
The terror attack carried out by Khalid Masood at Westminster that left four people dead lasted less than two minutes say police.
Two knives were found at the scene in Islington, North London, and the suspects fled on foot before being arrested.