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mech1D-1: A stopped car at a traffic light starts moving forward with a constant acceleration of 2 m/s^2. At the same instant, a truck that is moving with a constant velocity of 11 m/s, overtakes the car. How far beyond the traffic light will the car meet the truck? How long does it take for this to occur? | mech1D-2: A vehicle travels a distance of 5 km in 15 minutes and makes the return trip in 10 minutes. Find the vehicle's average velocity in (a) the first half of the trip, (b) second half of the trip and (c) the round trip. |
mech1D-3: A person takes a trip, driving with a constant speed of 89.5 km/h except for a 22 minutes rest-stop. If the person's average speed is 77.8 km/h, how long is the trip? | mech1D-4: If the average speed of a spacecraft is 20, 000 miles/h, find the time needed for it to orbit the earth once. Assume that the spacecraft is orbiting 175 miles above the earth’s surface and that the radius of earth is 3963 miles. |
| mech1D-5: At a certain time t, vehicle A is 10 miles west of a junction and vehicle B is 12 miles east of the same junction. Vehicle A is traveling at a constant velocity of 25 mi/h and vehicle B is traveling with a constant speed of 40 mi/h towards the junction. What is the distance between the junction and the point where they cross each other? | mech1D-6: Truck A travels at a constant speed of 50 miles/h on a straight road. Truck B travels at a constant speed of 70 miles/h in the same direction. Assume that both trucks start at the same point at the same time. How sooner will the truck B reach a place, which is 15 miles away? |
| mech1D-7: Truck A travels at a constant speed of 50 miles/h on a straight road. Truck B travels at a constant speed of 70 miles/h in the same direction. Truck A passes a gas station at 12 noon. Truck B passes the same gas station at 12:30 pm. At what time does truck B catch up with truck A? How far are the trucks from the gas station when this happens? | mech1D-8: A person moves in a straight-line path as shown in the diagram (refer to the answer to view the diagram). Find the average velocities in the following time intervals.
(a) Between t = 0 and 1.5 s
(b) Between t = 1.5 and 4.0 s
(c) Between t = 0 and 4.0 s
(d) Between t = 0 and 8.0 s
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| mech1D-9: A person moves in a straight-line path as shown in the above diagram (refer to the answer to view the diagram). Find the average velocities in the following time intervals. Find the instantaneous velocities at the following instances:
(a) t = 1.0 s, (b) t = 3.0 s, (c) t = 4.5 s and (d) t = 7.0 s
| mech1D-10:
A family decides to take a long trip along a highway. Total distance of the trip is 60 km. Dad is determined to have an average speed of 140 km/h or more during this trip. They travel the first half of the trip with an average speed of 110 km/h. What should his average speed in the second half of the trip be in order for the dad to be satisfied with his driving? |
| mech1D-11:
A ball hits a wall perpendicularly with a speed of 15 m/s. The ball rebounds in the opposite direction with a speed of 10 m/s. Assuming that the ball was in contact with the wall for 0.015 s find the ball’s average acceleration during the time of contact.
| mech1D-12 On a trip Amy has constant velocity of 89.0 km/hr except for 20 min rest. If average velocity is 77.0 km/hr how long does trip take? |
mech1D-13 When coming to a stop, a vehicle leaves skid marks 80 m long on the highway. Assuming a deceleration of 7.50 m/s2, find the speed of the car just before braking. | mech1D-14 Two players are running towards each other. They are 37 m apart. If one is accelerating from rest at 0.5 m/s² and the other was moving at 3.1 m/s and maintains his speed, how long until they crunch together? |
mech1D-15 A person moves in a straight-line path as shown in the above diagram. Find the average velocities in the following time intervals. Find the instantaneous velocities at the following instances
(a) t = 1.0 s (b) t = 3.0 s (c) t = 4.5 s (d) t = 7.0 s
| mech1D-16 A 2-lb ball is thrown upward at 30ft/s from an origin 5-ft above the earth’s surface. Using for your positive reference a vertical y axis with its origin at 5ft, determine for the ball:
a) The maximum height in ft reached
b) The elapsed time of flight in seconds until its return to the origin
c) Its acceleration in ft/s2 at the highest point
d) Its velocity vector at its return to the origin
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mech1D-17 The velocity of a 0.1kg particle along a horizontal X axis is given by: v(t)=(8t2 -20)m/s, and at t=20s, x(20)=60m. Find the following for t=8s:
(a) The position of the particle in ft
(b) The velocity of the particle in ft/s
(c) The acceleration of the particle in ft/s2 | mech1D-18 1. The acceleration on the moon is 1/6 that of the earth. If a ball is tossed upward at an initial speed of 7 m/s, how high will it be above the surface of the moon before it starts to return? 2. The acceleration on the moon is 1/6 that of the earth. If a ball is tossed upward at an initial speed of 7 m/s, how long will it take to reach its highest point above the moon’s surface? |
mech1D-19 1. Risking a huge fine, you decide to drop a rock off the edge of the Grand Canyon. If it takes 11 seconds for the stone to hit the first ledge, how far below you is the ledge?
2. While gift shopping, you accidentally knock a glass object off of a shelf 1.2 m above the floor. How fast is the object moving when it hits the floor?
| mech1D-20 1. A car, going 3.4 m/s travels north for 6.4 minutes. What is the car’s displacement? 2. Walking at a steady pace of 2.3 m/s, how long will it take Carl to take his evening walk, a distance of 2.1 Km? 3. John is coming home from Poland. If his non-stop flight from Warsaw to Washington DC takes 9 hours, 15 minutes to travel the entire 7597 Km distance, what is his average speed? 4. A car travels 59 m due east in 6 seconds. It then turns north, and travels for 7 seconds at a constant speed of 5.2 m/s. What is the final displacement of the car? |
mech1D-21 1. The acceleration on the moon is 1/6 that of the earth. If a ball is tossed upward at an initial speed of 7 m/s, how high will it be above the surface of the moon before it starts to return? 2. The acceleration on the moon is 1/6 that of the earth. If a ball is tossed upward at an initial speed of 7 m/s, how long will it take to reach its highest point above the moon’s surface? 3. Risking a huge fine, you decide to drop a rock off the edge of the Grand Canyon. If it takes 11 seconds for the stone to hit the first ledge, how far below you is the ledge? 4. While gift shopping, you accidentally knock a glass object off of a shelf 1.2 m above the floor. How fast is the object moving when it hits the floor? | mech1D-22 Elevator Problem:
The tension in a string holds a solid block of wood, with a density of 0.788 gm/cm3, below the surface of a liquid that has a density of 0.932 gm/cm3. The container is placed in an elevator that accelerates vertically upward at 11.6 m/s2.
Determine the tension in the string if the volume of the wooden block is 33.7 cm3 and its height is 5.11 cm. Show all work, including a free body diagram.
Atwood Machine Problem:
Two nearly equal masses hang from either side of a pulley (500 g, diameter = 35 cm) as shown. Find the acceleration of the system and the tensions in the cord. (Comment: This arrangement is known as "Atwood's Machine", and it was once used to determine the acceleration due to gravity g.) Use the diagram below to aid in free body diagram construction; show all work.
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