Answer:
a) The value of [tex]3a+4b=87[/tex]
b) The velocity is [tex]v= 13.5m/s[/tex].
Step-by-step explanation:
Part a
Given:
[tex]a=17[/tex] and [tex]b = 9[/tex]
Find the value of given expression = [tex]3a+4b[/tex]
Put a, b value in given expression
[tex]=3\times 17+4\times 9[/tex]
[tex]=51+36[/tex]
[tex]=87[/tex]
The value of [tex]3a+4b=87[/tex]
Part b
Given:
the initial velocity is [tex]u=3m/s[/tex]
the acceleration is [tex]a=1.5m/s^{2}[/tex]
the time is [tex]t=7[/tex] seconds
The given formula [tex]v= u + at[/tex] to find the velocity.
where [tex]a=acceleration[/tex],
u = initial velocity
t = time
Put all the value in given velocity formula
[tex]v= u + at[/tex]
[tex]v= 3 + 1.5\times 7[/tex]
[tex]v= 3 + 10.5[/tex]
[tex]v= 13.5m/s[/tex]
Therefore, the velocity is [tex]v= 13.5m/s[/tex].
