Question

At an amusement park, a swimmer uses a water slide to enter a pool. If the swimmer starts at rest, slides ithout friction and descends through a vertical heigh A slingshot fires a pebble from a building that is 31.0 tall with a speed of 14.0 m/s. What is the speed of the pebble just before it hits the ground? 5 A 0.0047 kg golf ball is driven off a tee with a speed of 52.0 in/s. When it reaches its maximum height, it has a speed of 47.1 in/.. What is this maximum height (round to 3 sig.fig)

Answer 1

                              

                              

                             

                

                                                           $v^{2}=u^{2}+2gh$

                                                         $v^{2}=0+2\times 9.8\times 2.31m$

                                                           $v=\sqrt{45.276}$

                                                           $\mathbf{v=6.72\; m/s}\; \; \; (Ans)$

                            

                            

                             

                                    

                                                     $v^{2}=u^{2}+2gh$

                                                      $v^{2}=(14)^{2}+2\times 9.8\times 31$

                                                        $\mathbf{v^{2}=803.6 m/s}$

                                                        $\mathbf{v=28.34 m/s}\; \; \; \; (Ans)$

      

                                  $\frac{1}{2}mv_{i}^{2}=\frac{1}{2}mv_{f}^{2}+mgh$

                                 $\frac{1}{2}v_{i}^{2}=\frac{1}{2}v_{f}^{2}+gh$

                                 $\frac{1}{2}(52)^{2}=\frac{1}{2}(47.1)^{2}+9.8\times h$

                                 $1352=1109.2+9.8\times h$

                                $9.8\times h=242.8$

                                $\mathbf{ h_{Max}=24.77\; m}\; \; \; (Ans)$