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Physics problems: kinematics

Part 9

 

Problem 81.

An object travels a distance of 5 km towards east, then 4 km towards north and finally 10 km towards east

1) what is total traveled distance?

2) what is resultant displacement?

Solution

 

Problem 82.

Can two displacements (vectors) of different magnitudes be combined to give a zero displacement (resultant)?

Solution

 

Problem 83.

What is the speed (m/sec) needed for a stunt driver to launch from a 20 degree ramp to land 15 m away?

What is his maximum height?

Solution

 

Problem 84.

A body moves 4 km towards East from a fixed point A and reaches point B. Then it covers 5 km towards North and arrives at point C. Find the distance and directions of the net displacement.

Solution

 

Problem 85.

A baseball player hits a homerun, and the ball lands in the left field seats, which is 120 m away from the point at which the ball was hit. The ball lands with a velocity of 20 m/s at an angle of 30 degrees below horizontal. Ignoring air resistance

(A) find the initial velocity and the angle above horizontal with which the ball leaves the bat;

(B) find the height of the ball relatively to the ground.

Solution

 

Problem 86.

A body covers 1/4 journey with a speed of 40 km/h, 1/2 of it with 50 km/h and remaining with the speed of 60 km/h. Calculate average speed for entire journey.

Solution

 

Problem 87.

A rocket is fired at a velocity of 80 m/s from the ground level at an angle of 50 degrees above the horizontal. The rocket is fire toward an 10 m high wall, which is located 20 m away. By how much does the rocket clear the top of the wall?

Solution

 

Problem 88.

A stone is thrown vertically upward was noted having a velocity of 15 m/s after covering 2/3 its maximum height.
(1) What is the total height reached by the stone?
(2) With what velocity was it thrown?

Solution

 

Problem 89.

A toy rocket is launched with an initial velocity of 12.0 m/s in the horizontal direction from the roof of a 37.0 m -tall building. The rocket's engine produces a horizontal acceleration of , in the same direction as the initial velocity, but in the vertical direction the acceleration is , downward.  Air resistance can be neglected. How long is the rocket in the air before it hits the ground?

Solution

 

Problem 90.

A toy rocket is launched with an initial velocity of 12.0 m/s in the horizontal direction from the roof of a 37.0 m -tall building. The rocket's engine produces a horizontal acceleration of , in the same direction as the initial velocity, but in the vertical direction the acceleration is , downward.  Air resistance can be neglected. How far does the rocket travel in horizontal direction before it hits the ground?

Solution

 

 

 

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