. A rocket is launched vertically from rest on the ground, and its thrusts gives the rocket a constant upward acceleration of 6 m/s^2. If the fuel is exhausted 19.6 seconds after the launch, what is the maximum altitude that can be reached by the rocket?

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Chapter1: Units, Trigonometry. And Vectors
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6. A ball B is dropped from the top of a tower 100m high at the same instant that a ball A is thrown
vertically upward from the ground. The two bodies pass each other at a height of 21.6m from
the ground
a. Find the initial velocity of ball A
b. What is the maximum height reached by body A?
c. With what velocity will body B hit the ground?
7. A stone is thrown vertically upwards over the top of a well with a velocity of 21 m/s and the
splash is heard in 5.05 seconds. If the velocity of 21 m/s and the splash is heard in 5.05 seconds.
If the velocity of sound is constant 350 m/s, determine the depth of the well and the height
above the top of the well to which the stone first rises.
8. A rocket is launched vertically from rest on the ground, and its thrusts gives the rocket a constant
upward acceleration of 6 m/s^2. If the fuel is exhausted 19.6 seconds after the launch, what is
the maximum altitude that can be reached by the rocket?
9. A car and a truck leave the same place and travel in the same direction along a straight road. The|
car starting from rest speeds up to 24 kph with a constant acceleration of 1/6 m/s^2, and then
runs at this speed. The truck leaves 40 seconds after the car, with a uniform acceleration of 1/3
m/s^2 from rest to attain a speed of 48 kph and then travels at the speed. How soon after the
car started will the truck oveertake the car:
10. An engine driver suddenly applies. the brakes and shuts off the steam when his train is running
at full speed. The train travels 29m the first second that elapses after the brakes are applied, and
27m during the second that elapses after the brakes applied. If the retardation is constant,
determine:
a. The full speed of the train
b. The time that elapses before the train stops
c. The distance it will travel in coming to rest
Transcribed Image Text:6. A ball B is dropped from the top of a tower 100m high at the same instant that a ball A is thrown vertically upward from the ground. The two bodies pass each other at a height of 21.6m from the ground a. Find the initial velocity of ball A b. What is the maximum height reached by body A? c. With what velocity will body B hit the ground? 7. A stone is thrown vertically upwards over the top of a well with a velocity of 21 m/s and the splash is heard in 5.05 seconds. If the velocity of 21 m/s and the splash is heard in 5.05 seconds. If the velocity of sound is constant 350 m/s, determine the depth of the well and the height above the top of the well to which the stone first rises. 8. A rocket is launched vertically from rest on the ground, and its thrusts gives the rocket a constant upward acceleration of 6 m/s^2. If the fuel is exhausted 19.6 seconds after the launch, what is the maximum altitude that can be reached by the rocket? 9. A car and a truck leave the same place and travel in the same direction along a straight road. The| car starting from rest speeds up to 24 kph with a constant acceleration of 1/6 m/s^2, and then runs at this speed. The truck leaves 40 seconds after the car, with a uniform acceleration of 1/3 m/s^2 from rest to attain a speed of 48 kph and then travels at the speed. How soon after the car started will the truck oveertake the car: 10. An engine driver suddenly applies. the brakes and shuts off the steam when his train is running at full speed. The train travels 29m the first second that elapses after the brakes are applied, and 27m during the second that elapses after the brakes applied. If the retardation is constant, determine: a. The full speed of the train b. The time that elapses before the train stops c. The distance it will travel in coming to rest
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