Physical Sciences

posted by .

A stone is thrown from a 50m high cliff and lands 4 seconds later, 40m from the base of the cliff. At what speed and angle was the stone thrown?

  • Physical Sciences -

    The time to fall, T = 4s, tells you the vertical initial velocity Vy0

    -50 = Vy0 T - (1/2) gT^2
    -50 = Vy0*4 - 4.9* 16 Vy0 - 78.4
    4 Vy0 = 28.4
    Vy0 = 7.1 m/s (upwards)
    The "0" at the end of the subscript means "initial value"

    For Vx, solve this equation that uses the horizontal coordinate where it hit the ground:

    40 = Vx * T
    Vx = 10 m/s (Vx remains the same with time, so it doesn't need a 0 subscript

    The speed is sqrt[Vx^2 + Vy0^2]
    and the launch angle is arctan Vy0/Vx

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physical science

    a stone is thrown horizontally at a speed of 5.o m/s from the top of a cliff 78.4 m high. How long does it take the stone to reach the bottom of the cliff?
  2. Physics ?#2

    A ball is dropped from the top of a 53.0m high cliff. At the same time, a carefully aimed stone is thrown straight up from the bottom of the cliff with a speed of 25.0m/s The stone and ball collide part way up. How far above the base …
  3. Physics

    A stone is thrown from a 50m high cliff and lands 5 seconds later, 40m from the base of the cliff. At what speed and angle was the stone thrown?
  4. physics

    A stone is thrown horizontally from a cliff 25m high and lands on the ground 22 m from the foot of the cliff. What is the horizontal acceleration on the stone?
  5. Physics

    Help imediately please very urgent! A stone is dropped from a cliff 200m high,if a second stone is thrown vertically upwards 1.50sec after the first was released,strike the base of the cliff at the same in stant as the first stone,with …
  6. mechanics

    a stone is dropped from a cliff 200m high.if a second stone is thrown verticall upwards 1.50seconds after the first was released.strike the cliff base at the same instant as the first stone.with what velocity was the second stone thrown
  7. physics for physical science

    A stone thrown vertically upwards with a speed of 12m/s from the edge of Cliff 70m high. Calculate the time the stone takes to hit the bottom of the cliff.
  8. physics

    A stone is dropped from the top of a cliff which is 100m high. At the same time another stone is vertically thrown upwards from the foot of the cliff woth a speed of 40m/s.AT what height and when do the stones meet
  9. Maths

    A stone is thrown up at an angle of 30degrees to the horizontal with a speed of 20metres per second from the edge of a cliff 15m above sea level, so that the stone lands in the sea. Find how long the stone is in the air and how far …
  10. Physical

    At t = 0 s time a stone is thrown from the top of a cliff above a lake. Another stone is thrown down from the same point , 1.6 s later , with a initial velocity of 32.0 m / s. The two stones hit the water in one instant. Determine …

More Similar Questions