A student tosses a ball into the air while trying to study. The student is able
ID: 1970435 • Letter: A
Question
A student tosses a ball into the air while trying to study. The student is able to give the ball an initial speed of 12.0 m/s. Determine the following:a. the maximum height the ball can go;
b. the acceleration of the ball at the top (maximum height);
c. the velocity of the ball when it returns to the person’s hand (assuming it doesn’t change height after the toss);
d. how much time it takes for the ball to return to the person’s hand after the initial toss;
e. how fast the ball was traveling when it was halfway between the top and the person’s hand.
Explanation / Answer
initial speed u = 12m/s
a) v2 - u2 = 2as
when it reaches the hghest point , its velocity will be zero.
0 - 122 = 2(-g)h
h = 7.34 m ...ANS
b) accelelartion is always uniform and same and is g = 9.81 m/s2 .
c) v2 - u2 = 2as
v2 - 0 = 2(g)(7.34)
v = 12 m/s ( it will be same as hight and acceleration are same)
D) v = u +at
0 = 12 - gt
t = 1.223 sec .
it will take same to return to the student as it take to go up there as hight and acceleration are same.
T = 2 X 1.223 = 2.45 s
e) v2 - u2 = 2as
v2 - 0 = 2(g)(7.34/2)
v = 8.5 m/s
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