# Worksheet: Uniform Linear Motion

Q1:

A cyclist travelled east at 15 m/s for 15 seconds, and then he stopped to rest for 10 seconds. Then, he moved west at 2 m/s for 75 seconds. Find the cyclistβs average speed for the whole trip.

Q2:

Benjamin starts walking along a path at a constant 4 mph. One and a half hours after Benjamin leaves, his sister Hannah starts jogging along the same route at a constant 6 mph. How long will it take Hannah to catch up with Benjamin?

Q3:

Two cars left travelling to a city, , 54 km away from city at the same time. If the speed of the first car was 40 km/h, and the second car was moving at 60 km/h, how long will the second car wait at city for the first car to arrive?

Q4:

A train travelling with a uniform speed of 180 km/h passed through a tunnel in 18 seconds. Given that the train was 210 meters long, find the length of the tunnel.

Q5:

A motorcycle started moving from a point at a uniform speed. Given that, after 3 minutes, it was 2 km from , and, after 8 minutes, it was 18 km from the same point, determine the speed of the motorcycle.

Q6:

A man was walking on a railroad bridge , which starts at point . He heard the whistle of a train coming from beyond point after he had covered of the bridgeβs length. The train was heading towards him at a uniform speed of 20 km/h. Given that, at a certain speed, the man could either run towards and narrowly avoid the train there or run towards and narrowly avoid the train there, what is the minimum uniform speed that he must move with in order to avoid being hit by the train?

• A 28 km/h
• B 220 km/h
• C 16 km/h
• D 12 km/h
• E 4 km/h

Q7:

Two cars were moving in opposite directions on a road between and . The first car started at point and traveled at 104 km/h, and the second started at point and traveled at 100 km/h. given that the points and are 153 km apart, determine the time and the distance from point at which the two cars met.

• A ,
• B ,
• C ,
• D ,
• E ,

Q8:

If a body covered meters in 10 minutes with a uniform velocity of 44 m/min, find the time taken to cover this distance when the body moves with a velocity of 20 m/min.

• A 44 minutes
• B 5 minutes
• C 9 minutes
• D 22 minutes