A brand new Rolls-Royce rolls off the back of a truck as it is beling delivered to tis owner. Full question in details?

A brand new Rolls-Royce rolls off the back of a truck as it is being delivered to its owner. It lands on its wheels. The truck is traveling along a straight road at a constant speed of 72km/h (20m/s). The Rolls-Royce slows down at a constant rate, coming to a stop over a distance of 240m. It is a full minute before the truck driver realizes that the precious load is missing. The driver brakes immediately leaving a 25m long skid mark on the road. The driver's reaction time (time interval between noticing the problem and depressing the brake) is 0.5s. How far back is the Rolls-Royce when the truck stops?

1 Answer
Apr 11, 2017

Answer:

#995m#

Explanation:

Distance traveled by Rolls-Royce after falling off the truck#=240m#

Distance traveled by truck in one minute after realization by driver#="speed"xx"time"#
#=20xx60=1200m#
Distance traveled by truck during reaction time of driver #="speed"xx"time"#
#=20xx0.5=10m#
Distance traveled by truck during making of skid mark#=25m#

Total distance traveled by truck after realization by driver to final halt#=1200+10+25=1235m#

Location of Rolls-Royce behind truck when the truck stops#="Distance traveled by truck after Rolls-Royce fell off"-"distance traveled by Rolls-Royce after falling off"#
#=1235-240=995m#