Physics Tutorial (XXXXX)
Biological Science - BS
Semester: Second Semester
Level: 200
Year: 2017
THE UNIVERSITY OF BAMENDA
FACULTY OF SCIENCE
Physics for Biological sciences
Tutorial Sheet 1
1) An animal is positioned some 20 m from a reference point. At time t=0 it rushes forwards
towards a target located 30 m ahead. The animal’s motion during the first 2 s is described by
the equation: x = 20 + 5
. Where t is time. Find:
a) The displacement of the animal in the time interval t=l s and t=2 s
b) The average velocity in this time interval
c) The instantaneous velocity at times t=l s and t=2 s
d) Derive an expression for the instantaneous velocity-with time
2) Suppose the velocity of a car moving along a Straight path is described as a Function of
time by the equation v = a + b
. Where a and b are constants. If a =10 m/s and b = 2 m/
.
Find:
a. the change in velocity of the car in the time interval t=2 s and t=5 s
b. the average acceleration in this time interval
c. the instantaneous acceleration.at times t=2s and t=4 s
d. derive an expression for the instantaneous acceleration with time.
3) A motorcyclist crosses a police check point and Accelerates at a constant rate of 4 m/s
2
.
If his velocity is 3m/s. Find from the check point,
a. find the position and velocity of the motorist after 2 s
b. what is his position when the velocity is 5m/s
4) A car travelling along a straight accelerates at the rate of a=m-nt. If its velocity at the origin
is v
o
a-Derive expressions for the velocity and position as functions of time if m = 2 m/s
2
and n =
0.1 m/s
2
and v
o
= 10 s
a.at what time is the velocity greatest?
b. What is this maximum velocity?
5) A boy standing on the first floor of a building throws a ball vertically upwards such that it
drops to the ground. If the ball leaves the boy’s hand at 15m/s find,
a. the position and velocity of the ball after 1 s and. 5 s.
b) the maximum height and the time it takes to reach it.
c) the Velocity when the ball is 5 m above the boy’s hand ?
d) Sketch graphs of the displacement and velocity with time.
6. The acceleration of a motorcycle starting from rest at time t = 0 is given by a=1.2t-0.12
.
Find its position and .velocity as functions of time. Calculate the maximum velocity.
www.schoolfaqs.net
7. The motion of a particle along a straight path is described by the function, x=6+5t
2
-t
4
.
a. Find the position, velocity, acceleration at time t =2
S
. .
b. During what interval of time is the velocity positive and what is the maximum velocity?
c. During what interval of time is x positive?
( take t to be positive).
www.schoolfaqs.net
