Suppose a soccer player kicks the ball from a distance 35 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 41° above the horizontal.
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- A ball is hit at an initial speed of 80 m/s. At what angle should it leave the bat if it has to travel 300 m horizontally? (Hint: sin 2ɵ =2sinɵcosɵ)Suppose a soccer player kicks the ball from a distance 24 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 41° above the horizontal. Answer = ??? m/sA kicked soccer ball is launched from the ground at an angle of 23.5 degrees above the horizontal with an initial speed of 23.5 m/s. How long is the ball in the air?
- A projectile is launched in the horizontal direction. It travels 2.050m horizontally while it falls 0.450m vertically, and it then strikes the floor. How long is the projectile in the air? What was the original velocity of the projectile?A rugby player kicks a ball at 18 m/s at 67 degrees above the horizontal and it is caught by an opposing player. How far downfield does the ball travel?The best leaper in the animal kingdom is the puma, which can jump to a height of 13.1 ft when leaving the ground at an angle of 40°. With what speed, in SI units, must the animal leave the ground to reach that height? = _____ m/s
- A cannonball is shot (from ground level) with an initial horizontal velocity of 39 m/s and an initial vertical velocity of 30 m/s. How far from where it was shot will the cannonball land?A boy throws a ball with an initial velocity of 27 m/s at an angle of 25° above the horizontal. How high above the projection point is the ball after 1.8 s?A projectile is launched from ground level to the top of a cliff which is 195 m away and 155 m high. If the projectile lands on top of the cliff 7.6 s later it is fired, find the magnitude and direction of the initial velocity of the projectile.
- You threw a tennis ball from a balcony 2.7 m above the ground upward at 30 degrees above horizontal with an initial speed of 6.0 m/s. How long was the tennis in the air?A projectile is thrown from the top of a building with an initial velocity of 30 m/s in thehorizontal direction. If the top of the building is 30 m above the ground, a) how long isthe projectile in the air? b) With what speed and angle will the projectile be moving justbefore it strikes the ground? (Hint: final speed = 38.6 m/s)If an object is initially moving with a constant velocity of 20 m/s towards positive x-axis and after 5 seconds, it changes its direction and moving at an angle of 30o with the x-axis, find the magnitude and direction of its acceleration.