A block is thrown vertically upward, within an initial velocity of 166.6 m/s. Find out: a) The time at which it reaches its maximum height b) the maximum height Data: Gravitational acceleration g = -9.8 m/s²
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- For a building having a height equal to the quantity you have recorded for Day in meters (in our example 15 meters), compute the time required for the ball to fall to the ground while experiencing acceleration due to gravity (g=9.8m/s2).A bullet is fired through a wooden board with a thickness of 8.0 cm. The bullet hits the board perpendicular to it, and with a speed of +350 m per s. The bullet then emerges on the other side of the board with a speed of +210 m per s. Assuming constant acceleration (rather, deceleration!) of the bullet while inside the wooden board, calculate the acceleration.You're an investigator for the National Transportation Safety Board, examining a subway accident in which a train going at 90 km/hkm/h collided with a slower train traveling in the same direction at 24 km/hkm/h . Your job is to determine the relative speed of the collision, to help establish new crash standards. The faster train's "black box" shows that it began negatively accelerating at 2.1 m/s2m/s2 when it was 52 mm from the slower train, while the slower train continued at constant speed. What do you report ?
- A “car” is sent a up tilted air track. If the initial speed is 0.43 m/s, how high in mm will the car rise vertically from where it started? Can you help with a visual aid; and then the mechanics of calculation.the Hoover Dam Bridge over the Colorado River at a height of 271 m. If a heavy object is dropped from the bridge, how much time passes before the object makes a splash? (Neglect air resistance.)You drop a rock off a bridge. When the rock has fallen 4 m,you drop a second rock. As the two rocks continue to fall,what happens to their velocities?(a) Both increase at the same rate.(b) The velocity of the first rock increases faster than thevelocity of the second.(c) The velocity of the second rock increases faster thanthe velocity of the first.(d) Both velocities stay constant.
- at stone is thrown vertically upward at 30 m/s what is the direction of the stone acceleration as it is rising. Vertically downward vertically upward ls it possible for two quantities to have the same dimensions such as length mass or time but different units. Yes NoSuppose a rocket is at an elevation of 100 km and has an initial velocity of 1.00 x 10^4 m/s directed vertically upward. If the rocket engines do not burn and no other force other than earth's gravity acts on the rocket, how far does it go? please be specific and give steps and explanations.At night while it is dark, a driver inadvertently parks his car on a drawbridge. Some time later, the bridge must be raised to allow a boat to pass through. The coefficients of friction between the bridge and the car's tires are μs=0.820 and μk=0.470. If the bridge attendant sees the car suddenly start to slide and immediately turns off the bridge's motor, what will be the car's acceleration after it has begun to move? (Express your answer in meters per second squared.)
- A stone is thrown from the top of a 59.4 m high rock. The vertical component of the initial speed of the stone is 19.5 m / s upwards. How long does the stone spend in the air? Suppose the soil at the base of the rock is flat.A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42A child is practicing for a BMX race. His speed remains constant as he goes counterclockwise around a level track with two straight sections and two nearly semicircular sections as shown in the aerial view of Figure OQ5.9. (a) Rank the magnitudes of his acceleration at the points A, B, C, D, and E from largest to smallest. If his acceleration is the same size at two points, display that fact in your ranking. If his acceleration is zero, display that fact. (b) What are the directions of his velocity at points A, B, and C? For each point, choose one: north, south, east, west, or nonexistent. (c) What are the directions of his acceleration at points A, B, and C? Figure OQ5.9
