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Physics problems: kinematics

Part 2

 

Problem 11.

From the dimensional analysis find the time t it takes for a ball to fall from a height h.

Solution

 

Problem 12.

You are driving along the street at the speed limit (35mph) and 50 meters before reaching a traffic light you notice it becoming yellow. You accelerate to make the traffic light within the 3 seconds it takes for it to turn red. What is your speed as you cross the intersection? Assume that the acceleration is constant and that there is no air resistance.

Solution

 

Problem 13.

How high can a human throw a ball if he can throw it with initial velocity 90 mph.

Solution

 

Problem 14.

Mr. Letourneau is flying his broom stick parallel to the ground. He undergoes two consecutive displacements. The first is 100 km 10 degrees west of north, and the second is 120 km 50 degrees east of north. What is the magnitude of the broom stick's displacement? 

Solution

 

Problem 15.

In reaching her destination, a backpacker walks with an average velocity of 1 m/s, due west. This average velocity results, because she hikes for 6 km with an average velocity of 3 m/s due west, turns around, and hikes with an average velocity of 0.3 m/s due east.

How far east did she walk (in kilometers)?

Solution

 

 

 

 

Problem 16.

It takes you 9.5 minutes to walk with an average velocity of 1.2 m/s to the north from the bus stop to museum entrance. What is your displacement?

Solution

 

Problem 17.

What is 3.3 slug in kilograms?

Solution

 

Problem 18.

An athlete swims the length of a 50.0-m pool in 20.0s and makes the return trip to the starting position in 22.0s. Determine her average velocities in

(a) the first half of the swim,

(b) the second half of the swim, and

(c) the round trip.

Solution

 

Problem 19.

A speedboat increases its speed uniformly from 20 m/s to 30 m/s in a distance of 200m. Find

(a) the magnitude of its acceleration and

(b) the time it takes the boat to travel the 200-m distance.

Solution

Problem 20.

The car drives straight off the edge of a cliff that is 57 m high. The investigator at the scene of the accident notes that the point of impact is 130 m from the base of the cliff. How fast was the car traveling when it went over the cliff?

Solution

 

 

 

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