A truck starts from rest and accelerates uniformly at 2.0ms ?. At t = 10s, a stone is dropped by a person standing on the top of the truck (6 m high from the ground). What are the (a) velocity, and (b) acceleration of the stone at t = 11s ? (Neglect air resistance.) %3D
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- 1. A particle moves along the x axis according to the equation x = 2 +9t - 3t², where x is in meters and t is in seconds. At t = 3.00 s, find .... (a) the position of the particle, (b) its velocity, and (c) its acceleration (10pts)While standing on a bridge 16.8 m above the ground, you drop a stone from rest. When the stone has fallen 2.80 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.6.
- Mature salmon swim upstream, returning to spawn at their birthplace. During the arduous trip they leap vertically upward over waterfalls as high as 3.31 m. With what minimum speed (in m/s) must a salmon launch itself into the air to clear a 3.31-m waterfall? in m/s7. The height of a helicopter above the ground is given by h =20.0 t-5.0 t where h is in meters and t is in seconds. At t=1.00 s, the helicopter releases a small mailbag. a) What is speed of a mailbox before hint to the ground? b) How long mailbox in air? 8. Starting from rest at 5 m from origin, a small still ball's horizontal component of velocity is 90.0 mile/hour in a straight line in 10.0 s. Ball's acceleration is constant during the entire motion, what is ball's final position?A projectile is fired from a gun and has an initial vertical velocity equal to 30 m/s. What is the acceleration of the projectile when it reaches its maximum height? Its magnitude is 9.8 m/s2 and; its direction is changing. 9.8 m/s?, downward O m/s2 less than 9.8 m/s-but non-zero. 4.9 mm/s?, downward
- #2) For this problem, ignore air resistance and assume the magnitude of the acceleration due to gravity is equal to 9.80 m/s². Let's also use up as the positive direction. Report answers to 3 sig figs. ECANSU (A) A rocket, initially at rest on the ground, accelerates straight upward from rest with constant net acceleration of 32.8 m/s2. The acceleration period lasts for a time of 3.47 s until the fuel is exhausted. Find the height the rocket reaches in the first 3.47 s. Show starting equations, algebra first, show final equations, numbers last. (B) After 3.47s, the fuel runs out and the rocket is now in free fall as it continues its motion. Find the total maximum height the rocket reaches as measured from the ground. Show starting equations, algebra first, show final equations, numbers last.An object is thrown straight up in the air with initial speed 20. 0 m/s.What are the velocity and acceleration of the object at its maximum height? Positive y points upward. Ov = 0 m/s, a = 9.81 m/s? Ov%3D -20.0 т/s, a — — 9.81 m/s* v = 20. 0 m/s, a = - 9. 81 m/s? Ov = 0 m/s, a = -9. 81 m/s² Ov= Оv%3D 20.0 m/s, a — 9. 81 m/s? Ov = -20.0 m/s, a = 9. 81 m/s²A lead ball is dropped into a lake from a diving board 6.20 m above the water. After entering the water, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 4.80 s after it is released. How deep is the lake?
- 60m A ball is thrown vertically upward from the top of a building of height h= 60 m with an initial velocity v, = 20 m/s. This stone moves up until it reaches its maximum height at point A and then returns to the ground at point B. What is its velocity at pint B just before it hits the ground? (v3=?) (Take g = 10 m/s²). (A) 0m/s (B)-20 m/s (C) 20 m/s (D)- 40 m/s (E) 40 m/sMature salmon swim upstream, returning to spawn at their birthplace. During the arduous trip they leap vertically upward over waterfalls as high as 3.29 m. With what minimum speed (in m/s) must a salmon launch itself into the air to clear a 3.29-m waterfall? HINT