You need the deflection of the platform because that measures how much force it absorbs. You can calculate the deflection by engineering methods, but absent that, perhaps you could make a realistic guestimate of the likely deflection and go from there (SUBSTANTIATED BY TESTING). If you give us some data on the platform, maybe we can figure a likely deflection.
Here's a reality check: Stopping an object from 0.3 m/s (0.67mph) over a deflection of 1" requires 0.20g's of force. If the deflection is 1/4", then 0.9g's force is required. Add this to your static load and include a safety factor of course.