Question

A 1.85 m tall basketball player attempts a goal 14.03m from the basketball hoop, which is at the height of 3.05 m. The acceleration of gravity id 9.81 m/s^2. If he shoots the ball at an angle of 46.0 degree, at what initial speed must he throw the basketball so that it goes through the hoop without striking the board? What is the time required for the ball to reach its maximum height? Determine the maximum height reached by the ball. A teacher sends her students on a treasure hunt. She gives the following instructions: 1. Walk 300 m north. Walk 400 m northwest. Walk 700 m east-southeast and the treasure is buried there. As all the other students walk off following the instructions, Jane physics student quickly adds the displacements and walks in a straight line to find the treasure. Draw the vector diagram for these vectors, roughly to scale How far does Jane need to walk? In which direction does Jane need to walk? A ball is projected upward at time t= 0.0 s, from a point on a roof 90 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is 36.2 m/s if air resistance is negligible. What is the maximum height the ball can reach? Calculate the time when the ball strikes the ground? How fast will it be moving just before it hits the ground? An air puck of mass m = 0.4 kg is tied to a string and allowed to revolve in a circle of radius 0.8 meters on a horizontal frictionless table (see figure). The other end of the string passes through a hole in the center of the table and a mass M = 1 kg block is tied to it The suspended mass remains in equilibrium while the puck on the tabletop revolves. What is the tension in the string? What is the centripetal force acting on the puck? What is the speed of the puck?

Answer 1

Time taken by the basketball to reach the basket along vertical and izontal direction 4.03-vt cos46 1403-20.2 cos46 20.2 20.2 202)sin 46.-2( 98,202 20.2 3.05-1.85-vl-Isin 46"--(9.8)|- 1.2-14 53_1999.396 1999.396 14.53-1.2 13.33 1999.396 13.33v 1999.396 -12.25 V- 13.33 v 12.25 m/s

Time required for the ball to reach its maximum height: 20 20.2 12 251.65 t 1.65s Maximum height reached: .. v. sin, It (12.252 )sin' 46' 2(9.81) -3.96 H-3.96m