calculus
posted by Tatjana .
a woman throws a ball vertically upwards so that 4seconds elapse before it strikes the ground. Determine the maximum height of the ball and the velocity with which the ball was thrown. Assume that the acceleration due to gravity is 10m/s squared and neglect the effect of air resistance

the height h(t) is
h(t) = vt4.9t^2
h=0 when t=4, so
4v4.9*16 = 0
v = 19.6
h(t) = 19.6t  4.9t^2
max h at t=2 because of symmetry
h(2) = 19.6*2  4.9*4 = 19.6
Respond to this Question
Similar Questions

physics
A ball is thrown vertically upwards, from ground level, with an initial speed vo. Assume that air resistance is negligible so that the acceleration of the ball is due solely to gravity. a) Derive an algebraic formula for the time t … 
physics
two students are on a balcony 20.6 m above the street. One student throws a ball vertically downward at 14.7 m/s. At the same instant, the other student throws a ball vertically upward at the same speed. The second ball just misses … 
physics
two students are on a balcony 20.6 m above the street. One student throws a ball vertically downward at 14.7 m/s. At the same instant, the other student throws a ball vertically upward at the same speed. The second ball just misses … 
cal
A ball is thrown directly upward from ground level with an initial velocity v(0) = 96 ft=s. Assuming that the ballâ€™s only acceleration is that due to gravity (i.e., a(t) = ��32 ft=s2), determine the maximum height reached … 
physics
Imagine that you throw a ball vertically upwards from the rooftop of a building. The ball abandons your hand at a point that has the same height as the railway of the rooftop with an ascending speed of 15m/s, been left in free falling. … 
Physics
Two students are on a balcony a distance h above the S street. One student throws a ball vertically downward at a speed vi ; at the same time, the other student throws a ball vertically upward at the same speed. Answer the following … 
dynmic
Ball A is thrown vertically upwards with a velocity of 30m/s from the ground. After 3 seconds ball B is also thrown vertically upwards with a velocity of 50m/s from the ground. Determine the time at which ball A and B will meet in … 
Applied Calculus
From a height of 25 meters a ball is thrown vertically upwards at a velocity of 5 meters per second. a. What time in seconds will the ball reach its maximum height? 
applied calculus
From a height of 25 meters a ball is thrown vertically upwards at a velocity of 5 meters per second. a.What time in seconds will the ball reach its maximum height? 
physics
A ball is thrown horizontally from a window 27 m above the ground. The ball strikes the ground at a point 80 m from the base of the building. The acceleration due to gravity is 9.8 m/s2. What is the resultant velocity of the ball just …