3) A parachutist descending at a constant rate of 2.0 m/s drops a smoke canister at a height of 300 m. Find the time for the smoke canister to reach the ground and its velocity when it strikes the ground. Then find the time for the parachutist to reach the ground, the position of the parachutist when the smoke canister strikes the ground, and an expression for the distance between the smoke canister and the parachutist.
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- A brick is thrown upward from the top of a building at an angle of 15° to the horizontal and with an initial speed of 12 m/s. If the brick is in flight for 3.3 s, how tall is the building? mAnswer all parts of the questionWhile standing on a bridge 13.9 m above the ground, you drop a stone from rest. When the stone has fallen 3.30 m, you throw a second stone straight down. What initial velocity must you give the second stone if they are both to reach the ground at the same instant? Take the downward direction to be the negative direction. Number i Units
- A train slows down as it rounds a sharp horizontal turn, going from 96.0 km/h to 40.0 km/h in the 13.0 s that it takes to round the bend. The radius of the curve is 130 m. Compute the acceleration at the moment the train speed reaches 40.0 km/h. Assume the train continues to slow down at this time at the same rate. magnitude m/s² direction backward (behind the radial line pointing inward)A rocket is launched at an angle of 59.0° above the horizontal with an initial speed of 101 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. (a) Find the maximum altitude reached by the rocket.-- m (b) Find its total time of flight. -- s (c) Find its horizontal range. -- mA cannonball is launched from the top of a flat mountainside, which slopes upwards at35 degrees with respect to the horizontal. The cannonball exits the cannon moving at150 m/s, at an angle of 55 degrees with respect to the horizontal.a) How much time (in seconds) elapses between the moment the cannonball isfired and the moment it lands on the mountainside.b) How far down the mountainside (in meters) does the cannonball land?
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- From the top of a cliff, a person throws a stone straight downward. The initial speed of the stone just after leaving the person's hand is 9.7 m/s. (a) What is the acceleration (magnitude and direction) of the stone while it moves downward, after leaving the person's hand? magnitude m/s2Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec. Use the general formula for the vertical position (height) of an object moving under the influence of gravity where s0 is the initial vertical position, v0 is the initial velocity, and s is the vertical position of the object. Calculate the time(s) at which the rocket is at a height of at least 85 ft above the ground. Round to the nearest hundredth. Explain your answer.Draw a motion diagram for the part of the jump where the person is in the air. Indicate an acceleration vector, if the acceleration is not zero.