Astone is thrown straight up from earth with d(t)= -4.9 t^2 + vt where d = height in meters, t= time in seconds, and v= initial speed in m/s. find the following:
(a) d(t) ?
(b) the time in the air ?
(c) the maximum height ?
(d) the instantaneous velocities at t= a, and t= b?
(e) the average velocity from t= a to t= b?
(f) the velocity of the stone as it runs into the ground ?
(g) the total ground distance traveled ?
+ (for initial speed = 49 m/s, a= 4 sec, b= 9 sec.)

(a)  D(t)= -4.9 t^2 + vt

(b)10 sec

(c)122.5m

(d)At t= 4sec, v= 9.8m/s (upwards) and at t= 9sec, v= 39.2m/s (downwards)

(e)-24.5m

(f)-49m/s (i.e. downwards)

(g)0

Step-by-step explanation:

(b) Time in the air = 2v/g = 10sec

(c) Maximum height = =122.5m

(d) Velocity at any time t = v -9.8t

     So, at t= 4sec, velocity = 49 – 9.8(4) =9.8m/s

    at t= 9sec, velocity = 49 – 9.8(9) = -39.2m/s

(e) Average velocity = = -24.5m

(g) the stone is thrown vertically upwards, so no horizontal distance covered.

the correct answer to your question is a. 4^4

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