A model rocket is launched with an initial upward velocity of 195 ft/s. The rocket's height h (in feet) after t seconds is given by the following. h=195t–167 Find all values of t for which the rocket's height is 87 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.)

An object shot into the air follows the path given by (t) = (at, 1000+ bt - 4.9t²) m with t in seconds and a and b are unknown physical constants. y (m) 1000 20000 x (m) The launch speed is 500 m/s. The launch point is at a height of 1000 meters, and the object lands 20,000 meters downrange. Find the total distance that the object traveled through the air. Be accurate to within 10 meters.

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24 ft/s. 90 ft (a) At what rate is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) ft/s (b) At what rate is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) ft/s

An object is shot horizontally off a cliff which is 19.95 meters high. The forward speed when it is fired is 6.321. How far forward from the firing point does it land?  (Your answer should be in meters, but don't write the unit; just the nuumber.) Use the acceleration due to gravity near the earth's surface, g=10m/s^2  (Remember that the horizontal and vetical motion can be treated seperately, so you can first find the time of flight, then figure out how far foward it moves in that time)

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 stone is thrown from ground level with a speed of 10 m/s at an angle of 35° above the horizontal. How much time does it take to reach the maximum height?    (answer numerically in hundredths of a second) What is the maximum height?    (answer numerically in tenths of a meter) What is the horizontal range?   (answer numerically in tenths of a meter)

A discus is thrown from ground level with a speed of 260 m/s at an angle of 60° above the horizontal. How much time does it take to reach the maximum height?    (answer numerically in hundredths of a second) What is the maximum height?    (answer numerically in tenths of a meter) What is the horizontal range?   (answer numerically in tenths of a meter)

Needs Complete solution with 100 % accuracy.

A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10° to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 500 mi/h, how far is she from her starting position? (Round your answer to the nearest mile.)

Please answer the following, thank you!