Classical Mechanics Answers

Mr. Domingo drives to Laguna for the weekend at an average speed of 105km/h and the trip takes 2hrs and 20mins. On the way back to Manila, he took the same road (covering the exact same distance) but heavy traffic slows him down to an average speed of only 70km/h.

a) How many hours did it take him on the way back?

b) By how much longer is the trip back compared to the first trip?

An astronaut has left an orbiting space shuttle to test a new personal maneuvering unit. As she moves along a straight line , her partner on board the shuttle measures her velocity every 2.0s starting at time t=1.0s as follows:

T

1.0s

3.0s

5.0s

V

0.8m/s

1.2m/s

1.8m/s

Find the average acceleration for each time interval:

a) 1s to 3s and b) 3s to 5s

A car stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by xt=bt2-ct3 where, b=2.40m/s2 and c=0.120m/s3

A.) Calculate the average velocity of the car for the time interval t=0s to t=10.0s

B.) Calculate the instantaneous velocity of the car at t=0s; t=5.0s; and t=10.0s

An antelopes moving with constant acceleration covers the distance between two points 70.0m apart in 7.0s. It’s speed aa it passes the second point is 15.0m/s

A.) What is it’s speed at the first point? b) What is the acceleration?

The catapult of the aircraft carrier USS Lincoln accelerates an F/A-18 Hornet jet fighter from rest to take off speed of 173mi/h in a distance of 307ft. Assume a constant acceleration. a) Calculate the acceleration of the jet fighter in m/s2 b) Calculate the time required for the fighter to be accelerated to

The human body can survive a negative sudden stop if the magnitude of the acceleration is less than 250m/s2. If you are in an automobile accident with an initial speed of 105km/h and are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you for you to survive the crash?

A student throws a water balloon vertically downward from the top of the building. The balloon leaves the thrower’s hand with a speed of 6.0m/s. Air resistance may be ignored so the water balloon is in free fall after it leaves the thrower’s hand.

A.) What is it’s speed after falling 2.0s?

B.) How far does it fall in 2s?

C.) What is the magnitude of it’s velocity after falling 10m?

An airplane travels 280m down the runway before taking off. If it starts from rest, moves with constant acceleration, and becomes airborne in 8.0s, what is it’s speed in m/s when it takes off?

A STONE IS THROWN STRAIGHT UP INTO THE AIR AND HAS A HANG TIME OF 5 SECONDS FIND THE HEIGHT TO WHICH THE BALL REACHES ITS PEAK

At the equator (under standard assumption about earth)

(a) the direction of a static plumb line goes through the centre of the earth

(b) the value of g-effective is same as GM/R²

(c) As seen from the earth frame, a particle released from rest at a height falls in vertical direction only 

(d) As seen from the earth frame, a particle released from rest at a height deviates towards east as it falls.