Assume the accleration of the object is a(t) = −9.8 meters per second per second. (Neglect air resistance.). With what initial velocity must an object be thrown upward (from a height of 2 meters) to reach a maximum height of 200 meters?
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Assume the accleration of the object is a(t) = −9.8 meters per second per second. (Neglect air resistance.). With what initial velocity must an object be thrown upward (from a height of 2 meters) to reach a maximum height of 200 meters?

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- A stone is dropped from the upper observation deck of a tower, 900 m above the ground. (Assume g = 9.8 m/s2.) (a) Find the distance (in meters) of the stone above ground level at time t. h(t) (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) S (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) m/s (d) If the stone is thrown downward with a speed of 8 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)The elevations of the ski jumping hill shown below are as follows: hA = 49 m hB = 3.5 m hc = 5.2 m If the velocity of a ski jumper is measured to be 25.4 m/s at position B, what will be the launch velocity (in m/s) at position C [round your final answer to one decimal place]? A C В hc hBOn the moon, the gravitational acceleration is 1/6 x g of Earth. If you shoot a golf ball on the moon with a launch angle of 25 degrees and an initial velocity of 22 m/s, how high is its peak height? How many times higher did it go than it would have on Earth?
- An elevator without a ceiling is ascending with a constant speed of 11 m/s. A boy on the elevator shoots a ball directly upward, from a height of 2.1 m above the elevator floor, just as the elevator floor is 24 m above the ground. The initial speed of the ball with respect to the elevator is 18.7 m/s. (a) What maximum height above the ground does the ball reach? (b) How long does the ball take to return to the elevator floor? (a) Number i Units (b) Number i UnitsPlease answer question 2 parts a, d, and eThe equation for the (not too fast) velocity of a ball in the presence of air resistance is given to a good approximation by v (t) = v0(1-e-t/τ)where v0 is the terminal velocity, and τ is a constant with units of seconds. Determine the initial speed, and how long it would take (in units of τ) for the ball to reach v = v0/2.
- The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 25.5 m/s is h = 4 + 25.5t − 4.9t2 after t seconds. When does the projectile meet its maximum height and what is its maximum height?if a person can jump a maximum horizontal distance ( by using a 45 degrees projection angle) of 3.66 m on earth, what would be his maximum range on the moon, where the free-fall acceleration is g/6 and g = 9.80 m m/s^2? (a) give the answers in meters.. (b) repeat for mars, where the acceleration due to gravity is 0.38 g.Can you use these velocity components, together with y and a = 9.8m / (s ^ 2) to obtain the time of flight, t? Write the expression. Hint: x = vot and replace t using y = 1/2 * g * t ^ 2
- A certain volcano on Earth can eject rocks vertically to a maximum height H. (a) How high (in terms of H) would these rocks go if a volcano on Mars ejected them with the same initial velocity? The acceleration due to gravity on Mars is 3.71 m/s2. (Ignore air resistance on both planets.) (b) The rocks are in the air for a time T on Earth, How long (in terms of T) would they be in the air on Mars?A ball is thrown from a rooftop with an initial downward velocity of magnitude vo = 1.9 m/s. The rooftop is a distance above the ground, h = 32 m. In this problem use a coordinate system in which upwards is positive. Find the vertical component of the velocity, vfy, in meters per second, with which the ball hits the ground. If we wanted the ball's final speed to be exactly 27.3 m/s, from what height, hnew (in meters), would we need to throw it with the same initial velocity? If the height is fixed at 32 m, but we wanted the ball's final speed to be 32.7 m/s, what would the vertical component of the initial velocity viy need to be, in meters per second?On the moon, the gravitational acceleration is 1/6 x g of Earth. If you shoot a golf ball on the moon with a launch angle of 25 degrees and an initial velocity of 22 m/s, how high is its peak height? How many times higher did it go than it would have on Earth?