Sorry to make one of these threads but could someone confirm that I've done this the right way, it's been along time since I've done differentiation velocity/acceleration etc.
Task 1 (P5 a)
a. If s= 5 + 25t – 6t², where s metres is the distance travelled in t seconds, by a body.
Determine the velocity of the body at t = 2 seconds.
Velocity (ds/dt)
(dS/dT) = 25 – 12t
when t = 2 seconds.
Velocity = 25 – (12*2)
Velocity = 25 – 24
Velocity = 1 m/s
b. The velocity (v) of a moving body is given by v = 5 +12t – 2t², where v is in m/s and t is time in sec. Determine the acceleration when t= 3 seconds.
dv/dt = 12 - 4 t
Acceleration = 12 – (4*3)
= 12 – 12
= 0 m/s
Just got a feeling I've gone about this the wrong way about these questions.
Any help would be much appreciated.
Task 1 (P5 a)
a. If s= 5 + 25t – 6t², where s metres is the distance travelled in t seconds, by a body.
Determine the velocity of the body at t = 2 seconds.
Velocity (ds/dt)
(dS/dT) = 25 – 12t
when t = 2 seconds.
Velocity = 25 – (12*2)
Velocity = 25 – 24
Velocity = 1 m/s
b. The velocity (v) of a moving body is given by v = 5 +12t – 2t², where v is in m/s and t is time in sec. Determine the acceleration when t= 3 seconds.
dv/dt = 12 - 4 t
Acceleration = 12 – (4*3)
= 12 – 12
= 0 m/s
Just got a feeling I've gone about this the wrong way about these questions.
Any help would be much appreciated.
