An expression relating the distance between the car and motorcycle after t is 52t
Speed of motorcycle = 20 mph
Speed of car = 48 mph
Distance apart after, t hours :
Recall :
Distance traveled = Speed × time
Hence,
Distance traveled by car after t hours
Distance traveled by Motorcycle after t hours
Since, the direction followed by the car and motorcycle forms a right angle, the distance apart after t hours can obtained using Pythagoras :
Recall from Pythagoras :
a² = b² + c²
Where, a = hypotenus
b and c = opposite and adjacent
Therefore, distance apart :
d² = (48t)² + (20t)²
d² = 2304t² + 400t²
d² = 2704t²
Take the square root of both sides :
d = √2704t²
d = 52t
Therefore, the distance between the car and motorcycle after t hours is : 52t
Learn more : brainly.com/question/8283882