1. Questions

physics

a 2.00 m tall basketball player is standing on the floor 10 m from the basket. if she shoots the ball at a 40 degree angle with the horizontal at what initial speed mjust he throw the basketball so that it goes through the hoop without striking the backboard? the height of the basket is 3.05 m

  1. 👍
  2. 👎
  3. 👁
mark

  1. 1.) First, solve in the y direction. You know the ball starts at 2m and ends at 3.05m. You also know that acceleration is -9.8m/s^2, and that initial velocity in the y direction is going to be the overall initial velocity times sin45. You then use the equation x-x0=v0t+.5at^2, which after plugging in your values is 1.05=v0sin(45)t-4.9t^2. Now you just need something to plug in for t, and to do this, create an equation in the x direction.

    2.) In the x direction, acceleration is going to be zero, since the problem does not tell you about any air resistance. Distance is 10m, and the initial velocity in the x direction is going to be the overall initial velocity times cos45. So using the same equation as in 1.) except plugging in numbers from the x direction, you get 10=v0cos(45)t, with no acceleration. You can then see that t=10/(v0cos45).

    3.) Plug this value for t back into the equation in the y direction. 1.05=10v0sin(45)/v0cos(45)-490/(v0cos45)… This simplifies to 8.95=490/(v0cos45)^2, and solving for v0 would give you v0 = (490/(8.95cos^2(45))^(1/2).

    So your final answer is v0=10.46m/s.

    1. 👍
    2. 👎
    mardin

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A basketball player is standing on the floor 10.0 m from the basket as in the figure below. The height of the basket is H = 3.05 m, and he shoots the ball at an angle, θ = 37.6°, with the horizontal from a height of h = 2.20 m.

  2. physics

    A 2.0-m-tall basketball player is standing on the floor a distance d from the basket, as shown in the figure below. He shoots the ball at an angle of 40.0o above the horizontal with a speed of 10.67 m/s and makes the shot. The

  3. physics

    A 78 g basketball is launched at an angle of 45.4◦ and a distance of 10.1 m from the basketball goal. The ball is released at the same height (ten feet) as the basketball goal’s height. A basketball player tries to make a long

  4. Physics

    A basketball player, standing near the basket to grab a rebound, jumps 73.6 cm vertically. How much time does the player spend in the bottom 15.4 cm of the jump? Ok...after this I swear I'm done! I just need someone to check my

  1. math

    The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft. What is the scale factor relating the

  2. Math 6

    Jebb is the tallest player on the basketball team. He is 1 1/2 times as tall as the shortest girl in the sixth grade, who is 4 1/4 feet tall. How tall is Jeb? 3/2 x 17/4 = ?? IS this how I solve it? Help?

  3. physics

    The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free throw line throws the ball with an initial speed of 8.00 m/s, releasing it at a height of

  4. physics

    a basketball player can jump 1.5m off the hardwood floor with what upward velocity did he leave the floor

  1. Physics 11

    A 90kg basketball player carries about 720J of kinetic energy when running down the court. If the coefficient of kinetic friction between good runners & the floor is .600, how far does the player skid when trying to stop? Hint:

  2. physical

    A basketball player who is 2.0m tall is standing on the floor 10.0m from the basket,If he shoots the ball at a 40.0¤ angle witi the horizontal,at what initial speed must he throw so that it goes through the hoop without striking

  3. Physics

    A basketball player attempting a free throw shoots the ball at an angle of 35 above the horizontal. The basket is 4.21 m from the foul line and 3.05 m above the floor. If the ball is released at a height of 1.83 m above the floor

  4. physics

    A 1.85 m tall basketball player attempts a goal 9.3 m from a basket (3.05 m high). If he shoots the ball at a 45° angle, at what initial speed must he throw the basketball so that it goes through the hoop without striking the

You can view more similar questions or ask a new question.