hill as shown. The angle which the ball initially kicked, theta Ais is 45 ft/s What is the maximum height, h that the ball to reach this point
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- The velocity vector of the boat has two components: v1 is the velocity of the water, and v2 is the velocity of the boat relative to the water. If v1=3mi/h and v2=5mi/h, determine the velocity vector of the boat.A 6 Time to reach max height: y=-0.04x² A ball is kicked on a hill as shown. The angle which the ball initially kicked, theta A, is 40 degrees and initial velocity. Va, is 45 ft/s. What is the maximum height, h, that the ball will achieve. How long does it take the ball to reach this point. Maximum height, h: 402450A ballistic pendulum is a device often used for measuring the velocity of a projectile. Assume to projectile fully embeds itself in the pendulum. If the projectile mass is 25 grams, the pendulum mass is 2.5 kg, and the vertical displacement of the pendulum after the collision is 12 cm, find the velocity of the projectile just prior to the collision. cm cm
- A projectile is launched with a speed v0 = 50 m/s at angle = 35°. How long does it take to reach the maximum height? y vo x 0 2.55 s 28.68 s O2.92 s O 5.10 sA ceiling fan is moving at a constant rotation rate and makes one revolution in 1.3 s. The distance from the fan's center to the outermost tip of a blade is 1 m. A fly F is resting right at the tip. What is the fly's acceleration?Q1 A balloon is rising vertically above a level, straight road at a constant rate of 2 ft sec. Just when the balloon is 60 ft above the ground, a bicycle moving at a constant rate of 17 ft sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 3 sec later?
- A basketball player attempts a three-point shot 10.0 m from the basket as shown in the figure below. The player shoots the ball at an angle of 0 = 38.8° from horizontal, and releases the ball at a height of h = 1.92 m. The rim of the basket is at a height of H- 3.05 m. 10.0 m (a) What is the acceleration (in m/s') of the basketball at the highest point in its trajectory? magnitude m/s direction ---Select- (b) At what spoed (in m/s) must the player throw the baskctball so that thc ball gocs through the hoop without striking the backboard? m/s Need Help? Read ithi Vo Vo V₁ = R - he A ball will be thrown from the initial position (pictured in green) to strike a target (pictured in red) while avoiding contact with the ceiling. The initial height is hi - 5 m, the ceiling is he - 25 m tall, and the target = = is ht = 20 m above the ground. The target is R = 40 ht m away, horizontally. Find the minimum initial speed V₁ that can achieve this m/sModern roller coasters have vertical loops like the one shown in the figure. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. Part (a) What is the speed of the roller coaster, in meters per second, at the top of the loop if the radius of curvature there is 15 m and the downward acceleration of the car is 1.3g? Note that g here is the acceleration due to gravity. Part (b) The beginning of this roller coaster is at the top of a high hill. If it started from rest at the top of this hill, how high, in meters, above the top of the loop is this initial starting point? You may assume there is no friction anywhere on the track. Part (c) If it actually starts 3.5 m higher than your answer to the previous part (yet still reaches the top of the loop with the same velocity), how much energy, in joules, did it lose…
- Find the initial velocity of car if final velocity is 100 m/s, acceleration 20 m/s2 time 3 sQ1 A balloon is rising vertically above a level, straight road at a constant rate of 1 ft sec. Just when the balloon is 65 ft above the ground, a bicycle moving at a constant rate of 17 ft sec passes under it. How fast is the distance s(t) between the bicycle anoballoon increasing 3 sec later?A river flows due north with a velocity of 3kph. A man rows a boat across the river. His velocity relative to the water is 4kph due east. If the river is 1km wide, how long will it take him to cross the river?