(20) Exit 63 on Mass Pike has an advisory speed limit of 25 mph. A sign...

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(20) Exit 63 on Mass Pike has an advisory speed limit of 25 mph. A sign is set up on the freeway to warn drivers about the reduced speed limit on the off-ramp. The letter high of the sign is 4 inches. Assume that a driver can read a road sign at a distance of 40 ft for each inch of letter height. The speed limit of Mass Pike is 65 mph and the road is on a 3% downhill. (1). How far from the sign can drivers notice the warning? (2). How much distance will have been traveled before drivers are able to apply brake? (3). How much distance is needed for drivers to reduce speed from 65 mph to 25 mph? (4). How far back from the off-ramp should the sign be posted? Hint: the best way to solve the problem is to make a sketch, based on which to relate the above distances to each other. (20) Exit 63 on Mass Pike has an advisory speed limit of 25 mph. A sign is set up on the freeway to warn drivers about the reduced speed limit on the off-ramp. The letter high of the sign is 4 inches. Assume that a driver can read a road sign at a distance of 40 ft for each inch of letter height. The speed limit of Mass Pike is 65 mph and the road is on a 3% downhill. (1). How far from the sign can drivers notice the warning? (2). How much distance will have been traveled before drivers are able to apply brake? (3). How much distance is needed for drivers to reduce speed from 65 mph to 25 mph? (4). How far back from the off-ramp should the sign be posted? Hint: the best way to solve the problem is to make a sketch, based on which to relate the above distances to each other.