The questions address the following topics
اسئلة موضوعية - الجزء الثاني على الفصل الثاني ( الحركة في بعد واحد ) ويدرس المواضيع التالية
- Position
- Velocity
- Instantaneous Velocity and Speed
- Acceleration
- Motion Diagrams
- One-Dimensional Motion with Constant Acceleration
- Freely Falling Objects
- Kinematics Equations Derived from Calculus
Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. How long does it take for them to meet?
Solution
20 seconds
Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. Their dog, Spot, starts from Arthur's side at the same time and runs back and forth between them. By the time Arthur and Betty meet, what is Spot's displacement?
Solution
60 m in the direction of Betty
Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. Their dog, Spot, starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s. By the time Arthur and Betty meet, what distance has Spot run?
Solution
100 m
The position of a particle as a function of time is given by x(t) = (3.5 m/s)t - (5.0 m/s2)t2. What is the average velocity of the particle between t = 0.30 s and t = 0.40 s?
Solution
0 m/s
Figure 2-3 represents the position of a particle as it travels along the x-axis. What is the magnitude of the instantaneous velocity of the particle when t = 1 s?
Solution
3 m/s
A certain car can accelerate from 0 to 100 km/hr in 6.0 seconds. What is the average acceleration of that car in m/s2?
Solution
4.6 m/s2
If a car accelerates at 4.0 m/s2, how long will it take to reach a speed of 80 km/hr, starting from rest?
Solution
5.6 seconds
A water rocket can reach a speed of 75 m/s in 0.050 seconds from launch. What is its average acceleration?
Solution
1500 m/s2
A car with good tires on a dry road can decelerate at about 5.0 m/s2 when braking. Suppose a car is initially traveling at 55 mi/h.
(a.) How much time does it take the car to stop?
(b.) What is the stopping distance?
Solution
(a.) 4.9 s
(b.) 60 m
At the instant a traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 2.00 m/s2. At that moment a truck traveling with a constant velocity of 15.0 m/s overtakes and passes the car.
(a.) Calculate the time necessary for the car to reach the truck.
(b.) Calculate the distance beyond the traffic light that the car will pass the truck.
(c.) Determine the speed of the car when it passes the truck.
(a.) 15.0 s
(b.) 225 m
(c.) 30.0 m/s
A ball is thrown straight up with a speed of 30 m/s.
(a.) How long does it take the ball to reach the maximum height?
(b.) What is the maximum height reached by the ball?
(c.) What is its speed after 4.2 s?
Solution
(a.) 3.1 s
(b.) 46 m
(c.) 11 m/s
A foul ball is hit straight up into the air with a speed of 30.0 m/s.
(a.) Calculate the time required for the ball to rise to its maximum height.
(b.) Calculate the maximum height reached by the ball.
(c.) Determine the time at which the ball pass a point 25.0 m above the point of contact between the bat and ball.
(d.) Explain why there are two answers to part c.
Solution
(a.) 3.06 s
(b.) 45.9 m
(c.) 0.995 s and 5.13 s
A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m. She completes one lap in 100 seconds. What is her average velocity?
Solution
0 m/s
A car is making a 12-mile trip. It travels the first 6.0 miles at 30 miles per hour and the last 6.0 miles at 60 miles per hour. What is the car's average speed for the entire trip?
Solution
40 mph
A car is making a 12-mile trip. It travels the first 8.0 miles at 30 miles per hour and the last 4.0 miles at 60 miles per hour. What is the car's average speed for the entire trip?
36 mph
A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m. He completes one lap in 2.0 minutes. What is his average speed?
4.2 m/s
The velocity of a particle as a function of time is given by v(t) = (2.3 m/s) + (4.1 m/s2)t - (6.2 m/s3)t2. What is the average acceleration of the particle between t = 1.0 s and t = 2.0 s?
-15 m/s2
A car starts from rest and accelerates at 6.00 m/s2. How far does it travel in 3.00 s?
27.0 m
A car is moving with a constant acceleration. At t = 5.0 s its velocity is 8.0 m/s and at t = 8.0 s its velocity is 12.0 m/s. What is the distance traveled in that interval of time?
30 m
An airplane starts from rest and accelerates at 10.8 m/s2. What is its speed at the end of a 400 m-long runway?
93.0 m/s
A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, giving the car a deceleration of 3.50 m/s2. How far does the car travel after the driver put on the brakes before it comes to a stop?
146 m
A car is traveling with a constant speed when the driver suddenly applies the brakes, giving the car a deceleration of 3.50 m/s2. If the car comes to a stop in a distance of 30.0 m, what was the car's original speed?
14.5 m/s
A car is traveling at 30.0 m/s when the driver suddenly applies the brakes, giving the car a constant deceleration. The car comes to a stop in a distance of 120.0 m. What was the deceleration of the car?
3.75 m/s2
A car is traveling with a constant speed when the driver suddenly applies the brakes, giving the car a deceleration of 3.50 m/s2. The car comes to a stop in a distance of 34.0 m. What was the car's speed when it had traveled 17.0 m from the point where the brakes were applied?
10.9 m/s
A car is traveling at 26.0 m/s when the driver suddenly applies the brakes, giving the car a constant deceleration. The car comes to a stop in a distance of 120.0 m. How fast was the car moving when it was 60.0 m past the point where the brakes were applied?
18.4 m/s
A car is traveling at 26.0 m/s when the driver suddenly applies the brakes, giving the car a constant deceleration. The car comes to a stop in a distance of 120.0 m. How fast was the car moving when it was 30.0 m past the point where the brakes were applied?
22.5 m/s
Car A is traveling at 22.0 m/s and car B at 29.0 m/s. Car A is 300 m behind car B when the driver of car A accelerates his car with an acceleration of 2.40 m/s2. How long does it take car A to overtake car B?
19.0 s
In a relay race, runner A is carrying the baton and has a speed of 2.80 m/s. When he is 25.0 m behind the starting line, runner B starts from rest and accelerates at 0.0800 m/s2. How long afterwards will A catch up with B to pass the baton to B?
10.5 s
In a relay race, runner A is carrying the baton and has a speed of 2.8 m/s. When he is 25 m behind the starting line, runner B starts from rest and accelerates at 0.080 m/s2. How fast is B traveling when A overtakes her?
0.84 m/s
An object is thrown upwards with a speed of 14 m/s. How high above the projection point does it reach?
10 m
An object is thrown upwards with a speed of 14 .0 m/s. How long does it take it to reach its maximum height?
Solution
1.43 s
An object is thrown upwards with a speed of 14 m/s. How high above the projection point is it after 0.50 s?
Solution
5.8 m
An object is dropped from a bridge. A second object is thrown downwards 1.00 s later. They both reach the water 20.0 m below at the same instant. What was the initial speed of the second object?
Solution
14.6 m/s
To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the time is 2.3 s, what is the height of the bridge?
Solution
26 m
To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the height of the bridge is 41 m, how long will it take for the stone to hit the water?
Solution
2.9 s
An astronaut stands by the rim of a crater on the moon, where the acceleration of gravity is 1.62 m/s2. To determine the depth of the crater, she drops a rock and measures the time it takes for it to hit the bottom. If the time is 6.3 s, what is the depth of the crater?
Solution
32 m
ity is 1.62 m/s2 To determine the depth of the crater, she drops a rock and measures the time it takes for it to hit the bottom. If the depth of the crater is 120 m, how long does it take for the rock to fall?
Solution
12.2 s
An object is thrown upwards with a speed of 16 m/s. How long does it take it to reach a height of 7.0 m on the way up?
Solution
0.52 s
An object is thrown upwards with a speed of 13 m/s. How long does it take to reach a height of 4.0 m above the projection point while descending?
Solution
2.3 s
To determine the height of a flagpole, Abby throws a ball straight up and times it. She sees that the ball goes by the top of the pole after 0.5 s and then reaches the top of the pole again after a total elapsed time of 4.1 s. How high is the pole above the point where the ball was launched?
Solution
10 m
Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.500 s and reaches the level of the top of the pole after a total elapsed time of 4.10 s. What was the speed of the ball at launch?
Solution
22.6 m/s
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