This 'zoom effect' shot of Formula Atlantic racing driver Peter Wardle in an 'STP Oil Treatment' sponsored Lotus 69 at Oulton Park, Cheshire circuit was taken with a fixed-focal length 50mm Nikkor standard lens... and not with a zoom lens. I learned the trick about how to do this from a photograph in an old 1960s copy of the German "Leica Fotografie" magazine. I've forgotten the name of the photographer concerned, but he described how, by using a relatively slow shutter speed with a fast approaching subject, the subject in effect 'grew' in size whilst the camera shutter was open... so creating a similar effect when photographing a static subject using a zoom lens whilst zooming in, or out.
The technique is very hit-and-miss, but at least in the current era of digital output it's possible to see the effect immediately on 'play back'... whereas in the early 1970s, when I took this photograph, one had to shoot, shoot and shoot all day before you saw any results at all... and those were after hours spent in the darkroom developing and contact printing!