Q. If a car travels at a speed of 80 km/h and a bike travels at 60 km/h, how far apart will they be after 1 hour if they start from the same point and travel in the same direction?
A.20 km
B.30 km
C.40 km
D.50 km
Solution
Relative speed = 80 - 60 = 20 km/h. Distance apart after 1 hour = 20 km.
Q. Two cars start from the same point and travel in opposite directions. If car A travels at 70 km/h and car B at 50 km/h, how far apart will they be after 2 hours?
A.240 km
B.220 km
C.200 km
D.180 km
Solution
Relative speed = 70 + 50 = 120 km/h. Distance apart after 2 hours = 120 * 2 = 240 km.
Q. Two cars start from the same point and travel in opposite directions. If car A travels at 40 km/h and car B at 60 km/h, how far apart will they be after 1 hour?
A.50 km
B.80 km
C.100 km
D.120 km
Solution
Relative speed = 40 + 60 = 100 km/h. Distance apart after 1 hour = 100 km.
Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will land first?
A.30 degrees
B.60 degrees
C.Both land at the same time
D.Depends on the initial speed
Solution
Both will land at the same time as they are thrown from the same height.
Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will hit the ground first?
A.30 degrees
B.60 degrees
C.Both hit at the same time
D.Depends on the speed
Solution
Both will hit the ground at the same time as they are thrown from the same height.
Q. Two objects are thrown simultaneously from the same height but at different angles. If both have the same initial speed, which will hit the ground first?
A.Object at 30 degrees
B.Object at 45 degrees
C.Object at 60 degrees
D.Both hit at the same time
Solution
All objects hit the ground at the same time if launched from the same height with the same speed.
Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which one will have a longer range?
A.30 degrees
B.60 degrees
C.Both have the same range
D.Cannot be determined
Solution
The range is maximum at 45 degrees; hence, the 30-degree projectile will have a longer range than the 60-degree one.
Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will have a greater range?
A.30 degrees
B.60 degrees
C.Both have the same range
D.Cannot be determined
Solution
Both angles will have the same range when launched from the same height.
Q. Two observers are moving towards each other at speeds of 20 m/s and 30 m/s. What is the relative velocity of one observer with respect to the other?
A.10 m/s
B.20 m/s
C.50 m/s
D.60 m/s
Solution
Relative velocity = Velocity of observer 1 + Velocity of observer 2 = 20 m/s + 30 m/s = 50 m/s.
