A stone is dropped from the peak of a hill. It covers a distance of 30m in last second of its motion. What is height of the peak? Physics 1D Motion Falling Objects 1 Answer ali ergin Apr 15, 2017 #"peak height : "62.16" "meters# Explanation: #"let the arrival time of Object from A to B be t. "# #AC=1/2 g t^2# #AB=1/2 g (t-1)^2# #AC-AB=30" "meters# #30=1/2 g t^2-1/2 g(t-1)^2# #30=1/2g[t^2-(t-1)^2]# #(30*2)/g=t^2-(t^2-2t+1)# #60/g=cancel(t^2)-cancel(t^2)+2t-1# #60/g+1=2t# #(60+g)/g=2t# #2t=7.12# #t=(7.12)/2# #t=3.56 sec# #"peak height="AC=1/2*g*t^2# #AC=1/2*9.81*(3.56)^2# #AC=62.16" "meters# Answer link Related questions Question #50365 Question #d6555 What is the definition of free fall? Question #d655d Question #f7a6f An archer shoots an arrow with an initial velocity of 21 m/s straight up from his bow. He... What is the percent difference between the acceleration due to gravity at sea level and at the... What height will a dart achieve 7 seconds after being blown straight up at 50 m/s? How long does a ball take to reach the ground 7 m below, if it is thrown straight up with an... How long does a ball take to fall from a roof to the ground 7 m below? See all questions in Falling Objects Impact of this question 4541 views around the world You can reuse this answer Creative Commons License